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Relevant bibliographies by topics / Method of asymptotic partial domain decomposition

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Academic literature on the topic 'Method of asymptotic partial domain decomposition'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Method of asymptotic partial domain decomposition"

1

PANASENKO, G. P. "METHOD OF ASYMPTOTIC PARTIAL DECOMPOSITION OF DOMAIN." Mathematical Models and Methods in Applied Sciences 08, no. 01 (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

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Panasenko, Grigory. "Method of asymptotic partial decomposition of domain for multistructures." Applicable Analysis 96, no. 16 (2016): 2771–79. http://dx.doi.org/10.1080/00036811.2016.1240366.

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PANASENKO, GRIGORY. "THE PARTIAL HOMOGENIZATION: CONTINUOUS AND SEMI-DISCRETIZED VERSIONS." Mathematical Models and Methods in Applied Sciences 17, no. 08 (2007): 1183–209. http://dx.doi.org/10.1142/s0218202507002248.

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The partial homogenization is a new method for the treatment of the boundary layers in the homogenization theory. It keeps the initial formulation near the boundary, passes to the high order homogenization at some distance from the boundary and prescribes the asymptotically precise junction conditions between the homogenized and the heterogeneous models at the interface. This method is related to the method of asymptotic partial domain decomposition MAPDD (see G. Panasenko, Method of asymptotic partial decomposition of domain, Math. Mod. Meth. Appl. Sci.8 (1998) 139–156). The partial homogeniz

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BLANC, F., O. GIPOULOUX, G. PANASENKO, and A. M. ZINE. "ASYMPTOTIC ANALYSIS AND PARTIAL ASYMPTOTIC DECOMPOSITION OF DOMAIN FOR STOKES EQUATION IN TUBE STRUCTURE." Mathematical Models and Methods in Applied Sciences 09, no. 09 (1999): 1351–78. http://dx.doi.org/10.1142/s0218202599000609.

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The Stokes problem posed in tube structures (or finite rod structures (see Panasenko10)), i.e. in connected finite unions of the thin cylinders with the ratio of the diameter to the height of the order [Formula: see text], is considered. The asymptotic expansion of the solution is built and justified. Boundary layers are studied. Earlier the Navier–Stokes problem in one thin domain was considered by Nazarov.8 The method of asymptotic partial decomposition of the domain (MAPDD) (see Panasenko11) is applied and justified for the Stokes problem posed in a tube structures. This method reduces the

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DUPUY, D., G. P. PANASENKO, and R. STAVRE. "ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE." Mathematical Models and Methods in Applied Sciences 14, no. 05 (2004): 735–58. http://dx.doi.org/10.1142/s0218202504003428.

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The steady motion of a micropolar fluid through a wavy tube with the dimensions depending on a small parameter is studied. An asymptotic expansion is proposed and error estimates are proved by using a boundary layer method. We apply the method of partial asymptotic decomposition of domain and we prove that the solution of the partially decomposed problem represents a good approximation for the solution of the considered problem.

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Amosov, Andrey, Delfina Gómez, Grigory Panasenko, and Maria-Eugenia Pérez-Martinez. "Asymptotic Domain Decomposition Method for Approximation the Spectrum of the Diffusion Operator in a Domain Containing Thin Tubes." Mathematics 11, no. 16 (2023): 3592. http://dx.doi.org/10.3390/math11163592.

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The spectral problem for the diffusion operator is considered in a domain containing thin tubes. A new version of the method of partial asymptotic decomposition of the domain is introduced to reduce the dimension inside the tubes. It truncates the tubes at some small distance from the ends of the tubes and replaces the tubes with segments. At the interface of the three-dimensional and one-dimensional subdomains, special junction conditions are set: the pointwise continuity of the flux and the continuity of the average over a cross-section of the eigenfunctions. The existence of the discrete sp

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Panasenko, G., and M. C. Viallon. "Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure." Russian Journal of Mathematical Physics 22, no. 2 (2015): 237–63. http://dx.doi.org/10.1134/s1061920815020107.

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Appadu, Appanah Rao, and Abey Sherif Kelil. "Comparison of modified ADM and classical finite difference method for some third-order and fifth-order KdV equations." Demonstratio Mathematica 54, no. 1 (2021): 377–409. http://dx.doi.org/10.1515/dema-2021-0039.

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Abstract The KdV equation, which appears as an asymptotic model in physical systems ranging from water waves to plasma physics, has been studied. In this paper, we are concerned with dispersive nonlinear KdV equations by using two reliable methods: Shehu Adomian decomposition method (STADM) and the classical finite difference method for solving three numerical experiments. STADM is constructed by combining Shehu’s transform and Adomian decomposition method, and the nonlinear terms can be easily handled using Adomian’s polynomials. The Shehu transform is used to accelerate the convergence of th

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Panasenko, G. P., and R. Stavre. "Asymptotic analysis of a viscous fluid–thin plate interaction: Periodic flow." Mathematical Models and Methods in Applied Sciences 24, no. 09 (2014): 1781–822. http://dx.doi.org/10.1142/s0218202514500079.

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The first goal of this paper is to provide an asymptotic derivation and justification of the model studied in [Asymptotic analysis of a periodic flow in a thin channel with visco-elastic wall, J. Math. Pures Appl.85 (2006) 558–579]. We consider the coupled system "viscous fluid flow–thin elastic plate" when the thickness of the plate, ε, tends to zero, while the density and the Young's modulus of the plate material are of order ε-1and ε-3, respectively. The plate lies on the fluid which occupies a thick domain. The complete asymptotic expansion is constructed when ε tends to zero and it is pro

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PATERA, ANTHONY T., and EINAR M. RØNQUIST. "A GENERAL OUTPUT BOUND RESULT: APPLICATION TO DISCRETIZATION AND ITERATION ERROR ESTIMATION AND CONTROL." Mathematical Models and Methods in Applied Sciences 11, no. 04 (2001): 685–712. http://dx.doi.org/10.1142/s0218202501001057.

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We present a general adjoint procedure that, under certain hypotheses, provides inexpensive, rigorous, accurate, and constant-free lower and upper asymptotic bounds for the error in "outputs" which are linear functionals of solutions to linear (e.g. partial-differential or algebraic) equations. We describe two particular instantiations for which the necessary hypotheses can be readily verified. The first case — a re-interpretation of earlier work — assesses the error due to discretization: an implicit Neumann-subproblem finite element a posteriori technique applicable to general elliptic parti

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Dissertations / Theses on the topic "Method of asymptotic partial domain decomposition"

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Cheung, Charissa Chui-yee. "A domain decomposition method for some partial differential equations with singularities." HKBU Institutional Repository, 1997. http://repository.hkbu.edu.hk/etd_ra/160.

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Hendili, Sofiane. "Structures élastiques comportant une fine couche hétérogénéités : étude asymptotique et numérique." Thesis, Montpellier 2, 2012. http://www.theses.fr/2012MON20051/document.

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Cette thèse est consacrée à l'étude de l'influence d'une fine couche hétérogène sur le comportement élastique linéaire d'une structure tridimensionnelle.Deux types d'hétérogénéités sont pris en compte : des cavités et des inclusions élastiques. Une étude complémentaire, dans le cas d'inclusions de grande rigidité, a été réalisée en considérant un problème de conduction thermique.Une analyse formelle par la méthode des développements asymptotiques raccordés conduit à un problème d'interface qui caractérise le comportement macroscopique de la structure. Le comportement microscopique de la couche

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Auphan, Thomas. "Analyse de modèles pour ITER ; Traitement des conditions aux limites de systèmes modélisant le plasma de bord dans un tokamak." Phd thesis, Aix-Marseille Université, 2014. http://tel.archives-ouvertes.fr/tel-00977893.

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Cette thèse concerne l'étude des interactions entre le plasma et la paroi d'un réacteur à fusion nucléaire de type tokamak. L'objectif est de proposer des méthodes de résolution des systèmes d'équations issus de modèles de plasma de bord. Nous nous sommes intéressés au traitement de deux difficultés qui apparaissent lors de la résolution numérique de ces modèles. La première difficulté est liée à la forme complexe de la paroi du tokamak. Pour cela, il a été choisi d'utiliser des méthodes de pénalisation volumique. Des tests numériques de plusieurs méthodes de pénalisation ont été réalisés sur

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Chiniard, Renaud. "Contribution à la modélisation de la surface équivalente radar des grandes antennes réseaux par une approche multi domaine/Floquet." Toulouse 3, 2007. http://www.theses.fr/2007TOU30295.

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Cette étude propose de traiter les grandes antennes réseaux par une approche originale permettant d’atteindre des problèmes dont les grandes dimensions les rendent inaccessibles aux méthodes classiques et rigoureuses. Ainsi, la première partie est consacrée à la description des méthodes employées. La première d’entre elles est la méthode multi domaine qui permet de découper en sous domaines le problème initial. Chaque domaine est alors calculé à l’aide de la méthode numérique (équations intégrales, éléments finis,…) la plus appropriée dans le but d’obtenir un opérateur condensé (matrice S) pou

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Naceur, Nahed. "Une méthode de décomposition de domaine pour la résolution numérique d’une équation non-linéaire." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0149.

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Cette thèse porte sur l’analyse théorique et la résolution numérique d’un type d’équations semi-linéaires elliptiques et paraboliques. Ces équations sont souvent utilisées pour modéliser des phénomènes dans la dynamique de la population et les réactions chimiques. On a commencé cette thèse par l’étude théorique d’une équation elliptique semi-linéaire dont on a démontré l’existence d’une solution faible non négative sous des hypothèses plus générale que celles considérées dans des précédents travaux. Puis on a présenté une nouvelle méthode basée sur la méthode de Newton et la méthode de décompo

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"Overlapping domain decomposition methods for some nonlinear PDEs." 2013. http://library.cuhk.edu.hk/record=b5884471.

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Yan, Kan.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 2013.<br>Includes bibliographical references (leaves 64-[66]).<br>Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.<br>Abstracts also in Chinese.

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Dar-Der, Hsieh. "Applications of Domain Decomposition Method and the Method of Fundamental Solutions for Some Partial Differential Equations with Clustering." 2006. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0001-2807200617440500.

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Hsieh, Dar-Der, and 謝達德. "Applications of Domain Decomposition Method and the Method of Fundamental Solutions for Some Partial Differential Equations with Clustering." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/50279614998393984841.

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碩士<br>國立臺灣大學<br>土木工程學研究所<br>94<br>This thesis mainly describes the combination of the Domain Decomposition Method (DDM) and the Method of Fundamental Solutions (MFS) as a meshless numerical method (DDM-MFS) to solve problems governed by various Partial Differential Equations (PDEs), including Laplace equation, Stokes’ equations, diffusion equation and advection-diffusion equation. The MFS is an efficient meshless method, which its application can be extensively found in the literature. However, the resultant matrix in the MFS will approach to ill-conditioned as computational points increasing,

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Held, Joachim. "Ein Gebietszerlegungsverfahren für parabolische Probleme im Zusammenhang mit Finite-Volumen-Diskretisierung." Doctoral thesis, 2006. http://hdl.handle.net/11858/00-1735-0000-0006-B39E-E.

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Books on the topic "Method of asymptotic partial domain decomposition"

1

F, Magoulès, ed. Mesh partitioning techniques and domain decomposition methods. Saxe-Coburg Publications, 2007.

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F, Magoulès, ed. Mesh partitioning techniques and domain decomposition methods. Saxe-Coburg Publications, 2007.

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Quarteroni, Alfio. Domain decomposition methods for partial differential equations. Clarendon Press, 1999.

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International, Conference on Domain Decomposition (17th 2006 Bundesinstitut für Erwachsenenbildung St Wolfgang Austria). Domain decomposition methods in science and engineering XVII. Springer, 2008.

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International Conference on Domain Decomposition (6th 1992 Como, Italy). Domain decomposition methods in science and engineering: The sixth International Conference on Domain Decomposition, June 15-19, 1992, Como, Italy. Edited by Quarteroni Alfio. American Mathematical Society, 1994.

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International Conference on Domain Decomposition (7th 1993 Pennsylvania State University). Domain decomposition methods in scientific and engineering computing: Proceedings of the Seventh International Conference on Domain Decomposition, October 27-30, 1993, the Pennsylvania State University. Edited by Keyes David E and Xu Jinchao 1961-. American Mathematical Society, 1994.

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International Symposium on Domain Decomposition Methods for Partial Differential Equations (3rd 1989 Houston, Tex.). Third International Symposium on domain decomposition methods for partial differential equations. Society for Industrial and Applied Mathematics, 1990.

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International Symposium on Domain Decomposition Methods for Partial Differential Equations (5th 1991 Norfolk, Va.). Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations. Society for Industrial and Applied Mathematics, 1992.

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9

Gu, Jinsheng. Domain decomposition methods for nonconforming finite element discretizations. Nova Science Publishers, 1999.

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10

Smith, Barry F. Domain decomposition: Parallel multilevel methods for elliptic partial differential equations. Cambridge University Press, 1996.

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Book chapters on the topic "Method of asymptotic partial domain decomposition"

1

Bernardi, C., Y. Maday, and A. T. Patera. "Domain Decomposition by the Mortar Element Method." In Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1810-1_17.

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Nataf, F., and F. Rogier. "Factorization of the Advection-Diffusion Operator and Domain Decomposition Method." In Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1810-1_8.

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Gropp, William D., and David E. Keyes. "Domain Decomposition as a Mechanism for Using Asymptotic Methods." In Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1810-1_6.

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Kwong, Man Kam. "Domain Decomposition: A Blowup Problem and the Ginzburg-Landau Equations." In Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1810-1_7.

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Panasenko, Grigory. "Method of Asymptotic Partial Domain Decomposition for Non-steady Problems: Wave Equation on a Thin Structure." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12148-2_7.

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Lapin, Serguei, Alexander Lapin, Jacques Périaux, and Pierre-Marie Jacquart. "A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients." In Partial Differential Equations. Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8758-5_7.

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Brenner, Susanne C., Christopher B. Davis, and Li-yeng Sung. "A Two-Level Additive Schwarz Domain Decomposition Preconditioner for a Flat-Top Partition of Unity Method." In Meshfree Methods for Partial Differential Equations VIII. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51954-8_1.

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Chen, Jixin, and Danping Yang. "A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93873-8_14.

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"Part II: Asymptotic-Induced Domain Decomposition." In Asymptotic Analysis and the Numerical Solution of Partial Differential Equations. CRC Press, 1991. http://dx.doi.org/10.1201/b16933-10.

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Quarteroni, Alfio, and Alberto Valli. "Convergence Analysis for Iterative Domain Decomposition Algorithms." In Domain Decomposition Methods for Partial Differential Equations. Oxford University PressOxford, 1999. http://dx.doi.org/10.1093/oso/9780198501787.003.0004.

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Abstract In this chapter we present some abstract theorems that are useful for proving the convergence of iteration-by-subdomain methods. The main part of our analysis will cover the case of substructuring procedures (for disjoint subdomains). The convergence analysis of the Schwarz method for overlapping partitions will be addressed in the last section of this chapter. For a complete analysis of Schwarz methods we refer to Dryja and Widlund (1990, 1995), J. Xu (1992) and Smith et al. (1996).

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Conference papers on the topic "Method of asymptotic partial domain decomposition"

1

PANASENKO, G. "ASYMPTOTIC EXPANSION OF THE SOLUTION OF STOKES EQUATION IN TUBE STRUCTURE AND PARTIAL DECOMPOSITION OF THE DOMAIN." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812817617_0013.

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Lee, C., Y. Lee, and B. Ryoo. "A nonoverlapping domain decomposition method for extreme learning machines solving elliptic partial differential equations." In 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics. CIMNE, 2024. http://dx.doi.org/10.23967/c.wccm.2024.073.

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Lee, C., Y. Lee, and B. Ryoo. "A nonoverlapping domain decomposition method for extreme learning machines solving elliptic partial differential equations." In 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics. CIMNE, 2024. https://doi.org/10.23967/wccm.2024.073.

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Vanitha, K., D. Satyanarayana, and M. N. Giri Prasad. "A New Hybrid Medical Image Fusion Method Based on Fourth-Order Partial Differential Equations Decomposition and DCT in SWT domain." In 2019 10th International Conference on Computing, Communication and Networking Technologies (ICCCNT). IEEE, 2019. http://dx.doi.org/10.1109/icccnt45670.2019.8944876.

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Safatly, Elias, Mathilde Chevreuil, and Anthony Nouy. "Multiscale Model Reduction for the Solution of Stochastic Partial Differential Equations With Localized Sources of Uncertainties." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82389.

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The presence of numerous localized sources of uncertainties in stochastic models leads to high dimensional and multiscale problems. A numerical strategy is here proposed to propagate the uncertainties through such models. It is based on a multiscale domain decomposition method that exploits the localized side of uncertainties. The separation of scales has the double benefit of improving the conditioning of the problem as well as the convergence of tensor based methods (namely Proper Generalized Decomposition methods) used within the strategy for the separated representation of high dimensional

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Moghimi Zand, Mahdi, S. Ahmad Tajalli, and Mohammad Taghi Ahmadian. "Studying Dynamic Pull-In Behavior of Microbeams by Means of the Homotopy Analysis Method." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68214.

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In this study, the homotopy analysis method (HAM) is used to study dynamic pull-in instability in microbeams considering different sources of nonlinearity. Electrostatic actuation, fringing field effect and midplane stretching causes strong nonlinearity in microbeams. In order to investigate dynamic pull-in behavior, using Galerkin’s decomposition method, the nonlinear partial differential equation of motion is reduced to a single nonlinear ordinary differential equation. The obtained equation is solved analytically in time domain using HAM. The problem is studied by two separate manners: dire

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Lu, Xiaodong, and Pei-Feng Hsu. "Parallel Computing of Two Numerical Quadratures for an Integral Formulation of Transient Radiation Transport." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47235.

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Parallel computing of the transient radiative transfer process in the three-dimensional homogeneous and nonhomogeneous participating media is studied with an integral equation model. The model can be used for analyzing the ultra-short light pulse propagation within the highly scattering media. Two numerical quadratures are used: the discrete rectangular volume (DRV) method and YIX method. The parallel versions of both methods are developed for one-dimensional and three-dimensional geometries, respectively. Both quadratures achieve good speedup in parallel performance. Because the integral equa

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Zhang, Yuhong, and Sunil Agrawal. "A Lyapunov Controller for a Varying Length Flexible Cable System to Supress Transverse Vibration." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60269.

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Modeling and controller design for a flexible cable transporter system, with arbitrarily varying cable length is presented using Hamilton’s principle and Lyapunov theory. The axial velocity of the system is assumed to be arbitrary in the model. This is different from existing literature where the axial velocity is assumed either constant or is prescribed. The governing equations are coupled non-linear partial differential equations (PDEs) and ordinary differential equations (ODEs), and boundary conditions. The interactions between the cables and the slider, pulleys, and motors are included in

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Amabili, M., C. Touze´, and O. Thomas. "Comparison of Galerkin, POD and Nonlinear-Normal-Modes Models for Nonlinear Vibrations of Circular Cylindrical Shells." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14602.

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The aim of the present paper is to compare two different methods available to reduce the complicated dynamics exhibited by large amplitude, geometrically nonlinear vibrations of a thin shell. The two methods are: the proper orthogonal decomposition (POD) and an asymptotic approximation of the Nonlinear Normal Modes (NNMs) of the system. The structure used to perform comparisons is a water-filled, simply supported circular cylindrical shell subjected to harmonic excitation in the spectral neighbourhood of the fundamental natural frequency. A reference solution is obtained by discretizing the Pa

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Shah, Parthiv N., Håvard Vold, Dan Hensley, Edmane Envia, and David Stephens. "A High-Resolution, Continuous-Scan Acoustic Measurement Method for Turbofan Engine Applications." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-27108.

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Detailed mapping of the sound field produced by a modern turbofan engine, with its multitude of overlapping noise sources, often requires a large number of microphones to properly resolve the directivity patterns of the constituent tonal and broadband components. This is especially true at high frequencies where the acoustic wavelength is short, or when shielding, scattering, and reflection of the sound field may be present due to installation effects. This paper presents a novel method for measuring the harmonic and broadband content of complex noncompact noise sources using continuously movi

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