Relevant bibliographies by topics / Subdomain method

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Subdomain method'

Author: Grafiati
Published: 5 February 2023

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Journal articles on the topic "Subdomain method"

1

Zhang, Luxin, Pascal Germain, Yacine Kessaci, and Christophe Biernacki. "Interpretable Domain Adaptation for Hidden Subdomain Alignment in the Context of Pre-trained Source Models." Proceedings of the AAAI Conference on Artificial Intelligence 36, no. 8 (June 28, 2022): 9057–65. http://dx.doi.org/10.1609/aaai.v36i8.20890.

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Domain adaptation aims to leverage source domain knowledge to predict target domain labels. Most domain adaptation methods tackle a single-source, single-target scenario, whereas source and target domain data can often be subdivided into data from different distributions in real-life applications (e.g., when the distribution of the collected data changes with time). However, such subdomains are rarely given and should be discovered automatically. To this end, some recent domain adaptation works seek separations of hidden subdomains, w.r.t. a known or fixed number of subdomains. In contrast, this paper introduces a new subdomain combination method that leverages a variable number of subdomains. Precisely, we propose to use an inter-subdomain divergence maximization criterion to exploit hidden subdomains. Besides, our proposition stands in a target-to-source domain adaptation scenario, where one exploits a pre-trained source model as a black box; thus, the proposed method is model-agnostic. By providing interpretability at two complementary levels (transformation and subdomain levels), our method can also be easily interpreted by practitioners with or without machine learning backgrounds. Experimental results over two fraud detection datasets demonstrate the efficiency of our method.
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Harbi, A., and M. Boulbrachene. "Maximum Norm Analysis of a Nonmatching Grids Method for Nonlinear Elliptic PDES." Journal of Applied Mathematics 2011 (2011): 1–18. http://dx.doi.org/10.1155/2011/605140.

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We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on two overlapping subdomains with nonmatching grids. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The two meshes being mutually independent on the overlap region, a triangle belonging to one triangulation does not necessarily belong to the other one. Under a Lipschitz asssumption on the nonlinearity, we establish, on each subdomain, an optimalL∞error estimate between the discrete Schwarz sequence and the exact solution of the PDE.
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Dryja, Maksymilian, Juan Galvis, and Marcus Sarkis. "A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method." Computational Methods in Applied Mathematics 15, no. 4 (October 1, 2015): 465–82. http://dx.doi.org/10.1515/cmam-2015-0025.

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AbstractIn this paper, we present and analyze a FETI-DP solver with deluxe scaling for a Nitsche-type discretization [Comput. Methods Appl. Math. 3 (2003), 76–85], [SIAM J. Numer. Anal. 49 (2011), 1761–1787] based on a discontinuous Galerkin (DG) method for elliptic two-dimensional problems with discontinuous coefficients and non-matching meshes only across subdomains. We establish a condition number estimate for the preconditioned linear system which is scalable with respect to the number of subdomains, is quasi-optimal polylogarithmic with respect to subdomain mesh size, and is independent of coefficient discontinuities and ratio of mesh sizes across subdomain interfaces. Numerical experiments support the theory and show that the deluxe scaling improves significantly the performance over classical scaling.
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Journal, Baghdad Science. "Solving Two-Points Singular Boundary Value Problem Using Hermite Interpolation." Baghdad Science Journal 12, no. 4 (December 6, 2015): 826–32. http://dx.doi.org/10.21123/bsj.12.4.826-832.

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In this paper, we have been used the Hermite interpolation method to solve second order regular boundary value problems for singular ordinary differential equations. The suggest method applied after divided the domain into many subdomains then used Hermite interpolation on each subdomain, the solution of the equation is equal to summation of the solution in each subdomain. Finally, we gave many examples to illustrate the suggested method and its efficiency.
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Zhang, Di, Yuan Wei, Baoqiang Wang, and Shulin Liu. "Scale adaptive subdomain matching network for bearing fault diagnosis." Measurement Science and Technology 33, no. 2 (December 8, 2021): 025006. http://dx.doi.org/10.1088/1361-6501/ac3627.

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Abstract The wide application of transfer learning technology can effectively solve the problem of the difference between data collection and actual application equipment of traditional intelligent fault diagnosis methods in the practical application process. However, the difference in subdomain space and the serious imbalance of data samples in the process of simultaneous transfer restricts the deep transfer learning technology to the engineering application of high-precision diagnosis. In order to solve the problem of subdomain matching with different subspaces and unbalanced data samples, in this paper we study the subdomain adaptive method and propose a scale adaptive subdomain matching (SASM) method. The SASM method divides the global feature space according to the sample labels, and features with the same label will be divided into the same sub-feature space. Using the edge distribution of the sample and the category weight of the label, the SASM method can effectively optimize the feature distribution of the same subdomain and the weight distribution of different subdomains. Based on the establishment of a clearer internal structure of features, the field adaptation effect is improved, and the matching ability is enhanced when the sample is unevenly distributed. At the same time, the SASM network (SASMN) method for unsupervised bearing fault diagnosis is constructed and validated by experiments. The results indicate that SASMN can effectively optimize the subdomain adaptive effect, and the diagnostic accuracy of the target domain data set is significantly higher than the other three currently popular domain adaptive fault diagnosis methods.
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PANASENKO, G. P. "METHOD OF ASYMPTOTIC PARTIAL DECOMPOSITION OF DOMAIN." Mathematical Models and Methods in Applied Sciences 08, no. 01 (February 1998): 139–56. http://dx.doi.org/10.1142/s021820259800007x.

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A new method of partial decomposition of a domain is proposed for partial differential equations, depending on a small parameter. It is based on the information about the structure of the asymptotic solution in different parts of the domain. The principal idea of the method is to extract the subdomain of singular behavior of the solution and to simplify the problem in the subdomain of regular behavior of the solution. The special interface conditions are imposed on the common boundary of these partially decomposed subdomains. If, for example, the domain depends on the small parameter and some parts of the domain change their dimension after the passage to the limit, then the proposed method reduces the initial problem to the system of equations posed in the domains of different dimensions with the special interface conditions.
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Huang, Peiqi, Jinru Chen, and Mingchao Cai. "A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model." Advances in Applied Mathematics and Mechanics 9, no. 3 (January 17, 2017): 596–620. http://dx.doi.org/10.4208/aamm.2016.m1397.

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AbstractIn this work, we study numerical methods for a coupled fluid-porous media flow model. The model consists of Stokes equations and Darcy's equations in two neighboring subdomains, coupling together through certain interface conditions. The weak form for the coupled model is of saddle point type. A mortar finite element method is proposed to approximate the weak form of the coupled problem. In our method, nonconforming Crouzeix-Raviart elements are applied in the fluid subdomain and the lowest order Raviart-Thomas elements are applied in the porous media subdomain; Meshes in different subdomains are allowed to be nonmatching on the common interface; Interface conditions are weakly imposed via adding constraint in the definition of the finite element space. The well-posedness of the discrete problem and the optimal error estimate for the proposed method are established. Numerical experiments are also given to confirm the theoretical results.
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Gander, Martin J., and Hui Zhang. "Schwarz methods by domain truncation." Acta Numerica 31 (May 2022): 1–134. http://dx.doi.org/10.1017/s0962492922000034.

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Schwarz methods use a decomposition of the computational domain into subdomains and need to impose boundary conditions on the subdomain boundaries. In domain truncation one restricts the unbounded domain to a bounded computational domain and must also put boundary conditions on the computational domain boundaries. In both fields there are vast bodies of literature and research is very active and ongoing. It turns out to be fruitful to think of the domain decomposition in Schwarz methods as a truncation of the domain onto subdomains. Seminal precursors of this fundamental idea are papers by Hagstrom, Tewarson and Jazcilevich (1988), Després (1990) and Lions (1990). The first truly optimal Schwarz method that converges in a finite number of steps was proposed by Nataf (1993), and used precisely transparent boundary conditions as transmission conditions between subdomains. Approximating these transparent boundary conditions for fast convergence of Schwarz methods led to the development of optimized Schwarz methods – a name that has become common for Schwarz methods based on domain truncation. Compared to classical Schwarz methods, which use simple Dirichlet transmission conditions and have been successfully used in a wide range of applications, optimized Schwarz methods are much less well understood, mainly due to their more sophisticated transmission conditions.A key application of Schwarz methods with such sophisticated transmission conditions turned out to be time-harmonic wave propagation problems, because classical Schwarz methods simply do not work in this case. The past decade has given us many new Schwarz methods based on domain truncation. One review from an algorithmic perspective (Gander and Zhang 2019) showed the equivalence of many of these new methods to optimized Schwarz methods. The analysis of optimized Schwarz methods, however, is lagging behind their algorithmic development. The general abstract Schwarz framework cannot be used for the analysis of these methods, and thus there are many open theoretical questions about their convergence. Just as for practical multigrid methods, Fourier analysis has been instrumental for understanding the convergence of optimized Schwarz methods and for tuning their transmission conditions. Similar to local Fourier mode analysis in multigrid, the unbounded two-subdomain case is used as a model for Fourier analysis of optimized Schwarz methods due to its simplicity. Many aspects of the actual situation, e.g. boundary conditions of the original problem and the number of subdomains, were thus neglected in the unbounded two-subdomain analysis. While this gave important insight, new phenomena beyond the unbounded two-subdomain models were discovered.This present situation is the motivation for our survey: to give a comprehensive review and precise exploration of convergence behaviours of optimized Schwarz methods based on Fourier analysis, taking into account the original boundary conditions, many-subdomain decompositions and layered media. We consider as our model problem the operator $-\Delta + \eta $ in the diffusive case $\eta>0$ (screened Laplace equation) or the oscillatory case $\eta <0$ (Helmholtz equation), in order to show the fundamental difference in behaviour of Schwarz solvers for these problems. The transmission conditions we study include the lowest-order absorbing conditions (Robin), and also more advanced perfectly matched layers (PMLs), both developed first for domain truncation. Our intensive work over the last two years on this review has led to several new results presented here for the first time: in the bounded two-subdomain analysis for the Helmholtz equation, we see strong influence of the original boundary conditions imposed on the global problem on the convergence factor of the Schwarz methods, and the asymptotic convergence factors with small overlap can differ from the unbounded two-subdomain analysis. In the many-subdomain analysis, we find the scaling with the number of subdomains, e.g. when the subdomain size is fixed, robust convergence of the double-sweep Schwarz method for the free-space wave problem, either with fixed overlap and zeroth-order Taylor conditions or with a logarithmically growing PML, and we find that Schwarz methods with PMLs work like smoothers that converge faster for higher Fourier frequencies; in particular, for the free-space wave problem, plane waves (in the error) passing through interfaces at a right angle converge more slowly. In addition to our main focus on analysis in Sections 2 and 3, we start in Section 1 with an expository historical introduction to Schwarz methods, and in Section 4 we give a brief interpretation of the recently proposed optimal Schwarz methods for decompositions with cross-points from the viewpoint of transmission conditions. We conclude in Section 5 with a summary of open research problems. In Appendix A we provide a Matlab program for a block LU form of an optimal Schwarz method with cross-points, and in Appendix B we give the Maple program for the two-subdomain Fourier analysis.
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Boulaaras, Salah, Mohammed Cherif Bahi, Mohamed Haiour, and Abderrahman Zarai. "The maximum norm analysis of a nonmatching grids method for a class of parabolic equation with nonlinear source terms." Boletim da Sociedade Paranaense de Matemática 38, no. 4 (March 10, 2019): 157–74. http://dx.doi.org/10.5269/bspm.v38i4.40272.

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Motivated by the idea which has been introduced by M. Haiour and S.Boulaaras (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121,No. 4, November 2011,pp.481--493), We provide a maximum norm analysis of Euler scheme combined with finite element Schwarz alternating method for a class of parabolic equation with nonlinear source terms on two overlapping subdomains with nonmatching grids. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The two meshes being mutually independent on the overlap region, a triangle belonging to one triangulation does not necessarily belong to the other one. Under a stability analysis on the theta scheme which given by our work in (App. Math. Comp., 217, 6443--6450 (2011).), we establish, on each subdomain, an optimal asymptotic behavior between the discrete Schwarz sequence and the asymptotic solution of parabolic differential equations.
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Akçali, I. D., and G. Dittrich. "Path generation by subdomain method." Mechanism and Machine Theory 24, no. 1 (January 1989): 45–52. http://dx.doi.org/10.1016/0094-114x(89)90082-7.

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Dissertations / Theses on the topic "Subdomain method"

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Su, (Philip) Shin-Chen. "Parallel subdomain method for massively parallel computers." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/17376.

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Quesnel, Pierre Carleton University Dissertation Engineering Mechanical. "Boundary integral equation fracture mechanics analysis using the subdomain method." Ottawa, 1988.

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Walter, Bruce A. "The use of conformal subdomain basis functions in the method of moments computations for a thin wire." Thesis, Monterey, California. Naval Postgraduate School, 1991. http://hdl.handle.net/10945/27322.

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Grialou, Matthieu. "Vibro-acoustics substructuring : Combining simulations and experimental identification of subdomains for low frequency vehicle acoustics." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSEI109/document.

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La sonorité de l’échappement joue un rôle significatif sur le confort acoustique des occupants, ainsi que sur le caractère du véhicule. L’étude proposée porte sur la problématique industrielle suivante : « Description et quantification de la transmission du son entre la bouche d’échappement et l’intérieur du véhicule ». Physiquement la transmission sonore entre l’échappement et l’intérieur du véhicule s’effectue en trois étapes : Propagation des ondes sonores de la canule à la surface extérieure du véhicule et conversion en énergie vibratoire (1) ; Le bruit structurel se propage de la peau extérieure du véhicule à l’habillage intérieur (2) ; La surface intérieure du véhicule rayonne de l’énergie dans l’air à l’intérieur (3). Dans l’état de l’art proposé, la méthode de sous-structuration vibro-acoustique Patch Transfer Functions (PTF) est considérée comme une alternative viable à la problématique proposée. Cependant, avant d’appliquer la méthode sur un véhicule complet, la problématique suivante devait être résolue : « Caractérisation expérimentale d’un sous-système par des mesures sur un système couplé ». Ce manuscrit propose une méthode originale pour mesurer des fonctions de transfert d’un système découplé, sur la base de la réponse d’un système couplé. En raison de la nature mal posée du problème inverse, une méthode originale de régularisation a été proposée. La méthode a été validée pas des essais numériques, puis par un test physique
Exhaust noise has a significant impact on acoustic comfort and the sound identity of a vehicle brand. The present study focuses on the: “Description and quantification of the sound transmission from the exhaust outlet into the interior of a vehicle”. Physically the noise propagation from the exhaust pipe to the cabin consists of three steps: The sound waves propagate through the air from the exhaust outlet to the external skin of the vehicle (1); the external skin vibrates and transmits its vibration to the internal skin (2); the internal skin radiates sound in the passengers’ cabin (3). The Patch Transfer Functions method, which is based on the framework of dynamic substructuring, allows for the consideration of this complex problem as simpler subproblems that consist of subsystem interactions. Yet the application of the method to a full vehicle requires addressing the problem: “Characterization of Patch Transfer Functions of a subsystem by means of measurement on a coupled system”. This dissertation presents an original inverse method for the measurement of Patch Transfer Functions. In industrial structures, this in-situ characterization is generally the only possible measurement method. Yet, due to the ill posed nature of the problem, the inversion process is difficult. An original regularization method is proposed. The method is tested through numerical simulations, and is validated with an experimental setup
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Abdelnour, Nicolas. "Contribution à l’étude des couplages électro-magnéto-mécaniques pour l’acoustique des machines électriques d’un système de ventilation aéronautique." Thesis, Compiègne, 2021. http://www.theses.fr/2021COMP2631.

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Le bruit ambiant entendu par les passagers d’un avion civil peut atteindre quatre-vingts décibels et être très dérangeant pour certains. Celui-ci provient en partie des systèmes de ventilation dont l’acoustique est devenue, ces dernières années, un critère important du cahier des charges pris en compte dès la conception. Il apparaît depuis quelques années de plus en plus de phénomènes de bruits d’origines électromagnétiques. Certains cas pratiques laissent à croire qu’ils pourraient être dues à l’installation de la ligne d’arbre dont le comportement dynamique générerait des excentricités. L’objectif des travaux présentés dans ce manuscrit est de proposer une modélisation analytique pour simuler la dynamique du rotor d’un moteur synchrone lorsque celui-ci est exposé aux forces électromagnétiques en jeu dans l’entrefer. Cette modélisation multiphysique permettant de simuler ces phénomènes se fait par le couplage de deux modèles : 1) Un modèle électromagnétique de calcul des forces électromagnétiques dans l’entrefer qui s’appliquent au rotor. L’induction magnétique dans l’entrefer est obtenue par la méthode des sous-domaines afin d’en déduire les pressions de Maxwell. 2) Un modèle mécanique du comportement dynamique de la ligne d’arbre exposée à ces forces. Le rotor est modélisé comme une poutre 1D de Timoshenko dont l’équation du mouvement d’un système gyroscopique dissipatif soumis à une résultante des pressions de Maxwell est résolue. Cette équation est résolue en temporel par un schéma aux différences finies de Crank-Nicholson. Le calcul complet se fait par le couplage fort multi-physique des deux modèles des calculs électromagnétiques et mécaniques qui s’alternent puisqu’ils modifient chacun à tour de rôles les données d’entrée de l’autre. Les résultats du modèle couplé ont permis la compréhension du mécanisme de création de phénomènes vibro-acoustiques observés expérimentalement sur les équipements. La finalité industrielle est de mieux maîtriser les tolérances et les paramètres qui conditionnent la naissance de ces vibrations et bruits indésirables (et donc de les éliminer) pour tendre vers des produits plus silencieux
The noise heard by passengers on airplanes can reach eighty decibels and become a real burden. This noise mainly comes from the ventilation system. The acoustic of such sys-tems has become, during the past years, an important requirement of the specifications, and is taken into consideration in the design phase. Lately, many vibroacoustic phenomena seem to have an electromagnetic cause. Re-cent experiments have highlighted in the importance of the coupling between the shaft vibra-tions and the electromagnetic forces induced in the motor. It seems that those phenomena are due to the shaft implementation which dynamic behavior generates eccentricities. The aim of this work is to make an analytical model to simulate the dynamic of a synchronous motor rotor when it is exposed to the electromagnetic forces induced in the airgap. This multi-physic computation is made by coupling two models: 1) An electromagnetic model that computes the electromagnetic forces induced in the airgap that are applied to the rotor. The magnetic flux density is obtained with the subdomain method to deduct Maxwell pressure. 2) A mechanical model that computes the dynamic behavior of the rotor shaft when it is subjected to those electromagnetic forces. The rotor shaft is modeled as a 1D Timoshenko beam. Its motion equation is solved in temporal using the Crank Nicholson finite differential scheme. By coupling these two models, we obtain a strong and multi-physic complete compu-tation. The electromagnetic and mechanical computation steps alternate and the output data of one model is as an input data by the other model. The multi-physic results allowed the comprehension of the creation mechanism of some vibro-acoustic phenomena that appear during tests on fans. The industrial aim is to have a better control of the parameters that create high vibration and noise (and eliminate them) and tend towards quieter products
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Ren, Qiang. "Compatible Subdomain Level Isotropic/Anisotropic Discontinuous Galerkin Time Domain (DGTD) Method for Multiscale Simulation." Diss., 2015. http://hdl.handle.net/10161/11357.

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Domain decomposition method provides a solution for the very large electromagnetic

system which are impossible for single domain methods. Discontinuous Galerkin

(DG) method can be viewed as an extreme version of the domain decomposition,

i.e., each element is regarded as one subdomain. The whole system is solved element

by element, thus the inversion of the large global system matrix is no longer necessary,

and much larger system can be solved with the DG method compared to the

continuous Galerkin (CG) method.

In this work, the DG method is implemented on a subdomain level, that is, each subdomain contains multiple elements. The numerical flux only applies on the

interfaces between adjacent subdomains. The subodmain level DG method divides

the original large global system into a few smaller ones, which are easier to solve,

and it also provides the possibility of parallelization. Compared to the conventional

element level DG method, the subdomain level DG has the advantage of less total

DoFs and fexibility in interface choice. In addition, the implicit time stepping is

relatively much easier for the subdomain level DG, and the total CPU time can be

much less for the electrically small or multiscale problems.

The hybrid of elements are employed to reduce the total DoF of the system.

Low-order tetrahedrons are used to catch the geometry ne parts and high-order

hexahedrons are used to discretize the homogeneous and/or geometry coarse parts.

In addition, the non-conformal mesh not only allow dierent kinds of elements but

also sharp change of the element size, therefore the DoF can be further decreased.

The DGTD method in this research is based on the EB scheme to replace the

previous EH scheme. Dierent from the requirement of mixed order basis functions

for the led variables E and H in the EH scheme, the EB scheme can suppress the

spurious modes with same order of basis functions for E and B. One order lower in

the basis functions in B brings great benets because the DoFs can be signicantly

reduced, especially for the tetrahedrons parts.

With the basis functions for both E and B, the EB scheme upwind

ux and

EB scheme Maxwellian PML, the eigen-analysis and numerical results shows the

eectiveness of the proposed DGTD method, and multiscale problems are solved

eciently combined with the implicit-explicit hybrid time stepping scheme and multiple

kinds of elements.

The EB scheme DGTD method is further developed to allow arbitrary anisotropic

media via new anisotropic EB scheme upwind

ux and anisotropic EB scheme

Maxwellian PML. The anisotropic M-PML is long time stable and absorb the outgoing

wave eectively. A new TF/SF boundary condition is brought forward to

simulate the half space case. The negative refraction in YVO4 bicrystal is simulated

with the anisotropic DGTD and half space TF/SF condition for the rst time with

numerical methods.


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Gillgren, Andreas. "Analysis of spatial subdomains in the Generalized Weighted Residual Method : Optimization of the distribution of spatial subdomains in one spatial dimension." Thesis, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-328807.

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The Generalized Weighted Residual Method (GWRM) is a recently developed time- spectral method for parabolic or hyperbolic initial-value partial differential equations. In this paper, spatial subdomains, used in this method, are analyzed. Subdomains are used to enhance efficiency by dividing entire domains into smaller parts that can be independently solved for and then combined to get the final solution. An automatic grid mapping algorithm for spatial subdomains, called "Compressive Method", is presented and applied to Burgers' viscous equation. The error of the solution, as compared to the analytic solution, is compared for this compressive Method and the uniform grid case. Results show that accuracy can be gained at a small extra cost, using this compressive Method. Conclusions are that this adaptive algorithm shows great potential for further development.
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Books on the topic "Subdomain method"

1

Walter, Bruce A. The use of conformal subdomain basis functions in the method of moments computations for a thin wire. Monterey, Calif: Naval Postgraduate School, 1991.

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2

B, Ransom J., Aminpour M. A, and Langley Research Center, eds. Cross-surface interface element for coupling built-up structural subdomains. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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B, Ransom Jonathan, Aminpour Mohammad A, and Langley Research Center, eds. Cross-surface interface element for coupling built-up structural subdomains. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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Cross-surface interface element for coupling built-up structural subdomains. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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B, Ransom Jonathan, Aminpour Mohammad A, and Langley Research Center, eds. Cross-surface interface element for coupling built-up structural subdomains. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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Book chapters on the topic "Subdomain method"

1

Haynes, Ronald D. "Recent Advances in Schwarz Waveform Moving Mesh Methods – A New Moving Subdomain Method." In Lecture Notes in Computational Science and Engineering, 253–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11304-8_28.

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Salom, J., J. Cadafalch, A. Oliva, and M. Costa. "A Subdomain Method in Three-Dimensional Natural and Mixed Convection in Internal Flows." In Notes on Numerical Fluid Mechanics (NNFM), 289–95. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-89838-8_38.

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Klawonn, A. "An Iterative Substructuring Method with Lagrange Multipliers for Elasticity Problems Using Approximate Neumann Subdomain Solvers." In Multifield Problems, 193–200. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04015-7_21.

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Cordes, C., and W. Kinzelbach. "A Subdomain Collocation Approach in Tetrahedral Finite Elements." In Computational Methods in Water Resources X, 27–34. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-010-9204-3_4.

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Dahle, Helge K., Magne S. Espedal, and Richard E. Ewing. "Characteristic Petrov-Galerkin Subdomain Methods for Convection-Diffusion Problems." In Numerical Simulation in Oil Recovery, 77–87. New York, NY: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4684-6352-1_5.

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Kwok, Felix. "A Parallel Crank–Nicolson Predictor-Corrector Method for Many Subdomains." In Lecture Notes in Computational Science and Engineering, 799–808. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05789-7_77.

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Mitrea, M., and B. Schmutzler. "The Regularity Problem in Rough Subdomains of Riemannian Manifolds." In Integral Methods in Science and Engineering, 427–40. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16727-5_36.

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Spiteri, P., and H. C. Boisson. "Subdomain Predictor-Corrector Algorithms for Solving the Incompressible Navier-Stokes Equation." In Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters, 335–47. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1810-1_22.

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Pechstein, Clemens, and Clemens Hofreither. "A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomains." In Advanced Finite Element Methods and Applications, 109–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-30316-6_5.

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Dibrov, Sergey M., and Thomas Hermann. "Structure of the HCV Internal Ribosome Entry Site Subdomain IIa RNA in Complex with a Viral Translation Inhibitor." In Methods in Molecular Biology, 329–35. New York, NY: Springer New York, 2016. http://dx.doi.org/10.1007/978-1-4939-2763-0_21.

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Conference papers on the topic "Subdomain method"

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Cho, Maenghyo, Seungmin Baek, Hyungi Kim, and Ki-Ook Kim. "System Identification by Subdomain Reduction Method." In 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
14th AIAA/ASME/AHS Adaptive Structures Conference
7th. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2006. http://dx.doi.org/10.2514/6.2006-2121.

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Bandi, Punit, James P. Schmiedeler, and Andrés Tovar. "Design of Crashworthy Structures With Controlled Energy Absorption in the HCA Framework." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71391.

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This work presents a novel method for designing crashworthy structures with controlled energy absorption based on the use of compliant mechanisms. This method helps in introducing flexibility at desired locations within the structure, which in turn reduces the peak force at the expense of a reasonable increase in intrusion. For this purpose, the given design domain is divided into two subdomains: flexible (FSD) and stiff (SSD) subdomains. The design in the flexible subdomain is governed by the compliant mechanism synthesis approach for which output ports are defined at the interface between the two subdomains. These output ports aid in defining potential load paths and help the user make better use of a given design space. The design in the stiff subdomain is governed by the principle of a fully-stressed design for which material is distributed to achieve uniform energy distribution within the design space. Together, FSD and SSD provide for a combination of flexibility and stiffness in the structure, which is desirable for most crash applications.
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Atassi, Hafiz M., and Romeo F. Susan-Resiga. "Parallel Computation of Harmonic Waves Using Domain Decomposition: Part 1 — General Formulation." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0532.

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Abstract A method is presented for parallel computation of time-harmonic waves using an iterative scheme based on domain decomposition. For exterior radiation and scattering problems, a finite computational domain is obtained by introducing a computational outer boundary on which a modified Dirichlet-to-Neumann map is used as a nonreflecting condition. The computational domain is then decomposed into subdomains and for each a boundary-value problem is defined using impedance-like transmission conditions on the subdomain interfaces. An iterative scheme updates the subdomain boundary conditions so that a global continuous solution is recovered.
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Song, Wei, Hae Chang Gea, and Bin Zheng. "Domain Composition Method for Structural Optimization." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35059.

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Conventionally, design domain of topology optimization is predefined and is not adjusted in the design optimization process since designers are required to specify the design domain in advance. However, it is difficult for a fixed design domain to satisfy design requirements such as domain sizing adjustment or boundaries change. In this paper, Domain Composition Method (DCM) for structural optimization is presented and it deals with the design domain adjustment and the material distribution optimization in one framework. Instead of treating design domain as a whole, DCM divides domain into several subdomains. Additional scaling factors and subdomain transformations are applied to describe changes between different designs. It then composites subdomains and solve it as a whole in the updated domain. Based on the domain composition, static analysis with DCM and sensitivity analysis are derived. Consequently, the design domain and the topology of the structure are optimized simultaneously. Finally, the effectiveness of the proposed DCM for structural optimization is demonstrated through different numerical examples.
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Yuan, Xue-shuai, Fu-jun Chen, and Lin-quan Yao. "Subdomain collocation method for multilayered piezoelectric material." In 2010 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA 2010). IEEE, 2010. http://dx.doi.org/10.1109/spawda.2010.5744352.

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Wang, Guoqing, Liming Dai, and Diankui Liu. "The Scattering Field of SH-Wave in Half-Space With a Semi-Cylindrical Hill and a Horizontal Circular Tunnel." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80117.

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The scattering field of SH-wave in a half-space with a semi-cylindrical hill and a subsurface horizontal hole is studied in the present research by utilizing a complex function and the moving-coordinate method. Based on the concept of ‘conjunction,’ the domain considered is divided into two subdomains. The first subdomain is a cylindrical one which includes the surface of the hill, while the rest is the second subdomain. In the cylindrical subdomain, a standing wave function is constructed which automatically satisfies the zero-stress condition at the hill surface and arbitrary-stress condition at the other part of the circular subdomain. For the second subdomain, which contains a semi-cylindrical canyon and a subsurface hole, a scattering wave function is assumed, which satisfies the zero-stress condition on the horizontal surface. By employing the moving-coordinate method, the solutions of the mathematical model established for the SH-wave can be obtained with the satisfaction of the continuous conditions of stress and displacement across the junction interface together with the zero-stress condition at the surface of the tunnel. The solutions such obtained consist of a series of infinite linear algebraic equations, which can be solved numerically with consideration of the first finite terms corresponding to the frequencies of the wave. For demonstrating the application of the model developed, the displacements of the horizontal and semi-cylindrical hill surfaces are quantified with different properties of wave and geometry parameters.
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Krishnan, S., Ajay K. Agrawal, and Tah-teh Yang. "Use of Subdomains for Inverse Problems in Branching Flow Passages." In ASME 1992 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/92-gt-287.

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For inverse problems in complex flow passages, a calculation procedure based on multizone Navier-Stokes method was developed. A heuristic approach was employed to derive wall shape corrections from the wall pressure error. Only two subdomains sharing a row of control volumes were used in the present work. The grid work in the common region was identical for both subdomains. The flow solver, inverse calculation procedure, multizone Navier-Stokes method and subdomain inverse calculation procedure were validated independently against experimental data or numerical predictions. The subdomain inverse calculation method was applied to determine the wall shape of the main duct of a branching flow passage. This main duct was to minimize the pressure gradient downstream of the sidebranch. Inverse calculations resulted in a range of wall shapes with wall pressure distribution approaching the design (prescribed) wall pressure distribution. The present approach was illustrated for laminar, incompressible flows in branching passages. However, the method presented is flexible and can be extended for inverse turbulent flow calculations in multiply connected domains.
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Beckner, B. L., H. M. Chan, A. E. McDonald, S. O. Wooten, and T. A. Jones. "Simulating Naturally Fractured Reservoirs Using a Subdomain Method." In SPE Symposium on Reservoir Simulation. Society of Petroleum Engineers, 1991. http://dx.doi.org/10.2118/21241-ms.

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Gong, Wenping, C. Hsein Juang, Huiming Tang, and Lei Wang. "Probablistic Slope Stability Analysis with Subdomain Sampling Method." In Proceedings of the 6th International Symposium on Reliability Engineering and Risk Management. Singapore: Research Publishing Services, 2018. http://dx.doi.org/10.3850/978-981-11-2726-7_ctc304s1grr01.

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Mi, Jiamei, and Qiang Ren. "Parallel Subdomain Level DGTD Method with Load Balancing." In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting. IEEE, 2019. http://dx.doi.org/10.1109/apusncursinrsm.2019.8888762.

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Reports on the topic "Subdomain method"

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Belytschko, Ted. Failure Prediction of Underwater Structures - Subdomain Decomposition and Meshfree Methods. Fort Belvoir, VA: Defense Technical Information Center, November 2003. http://dx.doi.org/10.21236/ada419062.

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Russo, David, and William A. Jury. Characterization of Preferential Flow in Spatially Variable Unsaturated Field Soils. United States Department of Agriculture, October 2001. http://dx.doi.org/10.32747/2001.7580681.bard.

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Preferential flow appears to be the rule rather than the exception in field soils and should be considered in the quantitative description of solute transport in the unsaturated zone of heterogeneous formations on the field scale. This study focused on both experimental monitoring and computer simulations to identify important features of preferential flow in the natural environment. The specific objectives of this research were: (1) To conduct dye tracing and multiple tracer experiments on undisturbed field plots to reveal information about the flow velocity, spatial prevalence, and time evolution of a preferential flow event; (2) To conduct numerical experiments to determine (i) whether preferential flow observations are consistent with the Richards flow equation; and (ii) whether volume averaging over a domain experiencing preferential flow is possible; (3) To develop a stochastic or a transfer function model that incorporates preferential flow. Regarding our field work, we succeeded to develop a new method for detecting flow patterns faithfully representing the movement of water flow paths in structured and non-structured soils. The method which is based on application of ammonium carbonate was tested in a laboratory study. Its use to detect preferential flow was also illustrated in a field experiment. It was shown that ammonium carbonate is a more conservative tracer of the water front than the popular Brilliant Blue. In our detailed field experiments we also succeeded to document the occurrence of preferential flow during soil water redistribution following the cessation of precipitation in several structureless field soils. Symptoms of the unstable flow observed included vertical fingers 20 - 60 cm wide, isolated patches, and highly concentrated areas of the tracers in the transmission zone. Soil moisture and tracer measurements revealed that the redistribution flow became fingered following a reversal of matric potential gradient within the wetted area. Regarding our simulation work, we succeeded to develop, implement and test a finite- difference, numerical scheme for solving the equations governing flow and transport in three-dimensional, heterogeneous, bimodal, flow domains with highly contrasting soil materials. Results of our simulations demonstrated that under steady-state flow conditions, the embedded clay lenses (with very low conductivity) in bimodal formations may induce preferential flow, and, consequently, may enhance considerably both the solute spreading and the skewing of the solute breakthrough curves. On the other hand, under transient flow conditions associated with substantial redistribution periods with diminishing water saturation, the effect of the embedded clay lenses on the flow and the transport might diminish substantially. Regarding our stochastic modeling effort, we succeeded to develop a theoretical framework for flow and transport in bimodal, heterogeneous, unsaturated formations, based on a stochastic continuum presentation of the flow and a general Lagrangian description of the transport. Results of our analysis show that, generally, a bimodal distribution of the formation properties, characterized by a relatively complex spatial correlation structure, contributes to the variability in water velocity and, consequently, may considerably enhance solute spreading. This applies especially in formations in which: (i) the correlation length scales and the variances of the soil properties associated with the embedded soil are much larger than those of the background soil; (ii) the contrast between mean properties of the two subdomains is large; (iii) mean water saturation is relatively small; and (iv) the volume fraction of the flow domain occupied by the embedded soil is relatively large.
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