Relevant bibliographies by topics / Partial differential equations, finite element method, Oseen equations

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Partial differential equations, finite element method, Oseen equations'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Partial differential equations, finite element method, Oseen equations.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Partial differential equations, finite element method, Oseen equations"

1

Ying, Lung-an. "Book Review: Partial differential equations and the finite element method." Mathematics of Computation 76, no. 259 (September 1, 2007): 1693–94. http://dx.doi.org/10.1090/s0025-5718-07-02023-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Ellerby, F. B., and C. Johnson. "Numerical Solutions of Partial Differential Equations by the Finite Element Method." Mathematical Gazette 73, no. 463 (March 1989): 59. http://dx.doi.org/10.2307/3618226.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

W., L. B., and Claes Johnson. "Numerical Solution of Partial Differential Equations by the Finite Element Method." Mathematics of Computation 52, no. 185 (January 1989): 247. http://dx.doi.org/10.2307/2008668.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Balasundaram, S., and P. K. Bhattacharyya. "A Mixed Finite Element Method for Fourth Order Partial Differential Equations." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 66, no. 10 (1986): 489–99. http://dx.doi.org/10.1002/zamm.19860661019.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Pani, Amiya K. "AnH1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations." SIAM Journal on Numerical Analysis 35, no. 2 (April 1998): 712–27. http://dx.doi.org/10.1137/s0036142995280808.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Wrobel, L. C. "Numerical solution of partial differential equations by the finite element method." Engineering Analysis with Boundary Elements 9, no. 1 (January 1992): 106. http://dx.doi.org/10.1016/0955-7997(92)90133-r.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Mredula, K. P., and D. C. Vakaskar. "Haar Wavelet Implementation to Various Partial Differential Equations." European Journal of Engineering Research and Science 2, no. 3 (March 30, 2017): 44. http://dx.doi.org/10.24018/ejers.2017.2.3.307.

Full text
Abstract:
The article brings together a series of algorithms with the modification in formulation of solution to various partial differential equations. The algorithms are modified with implementation of Haar Wavelet. Test examples are considered for validation with few cases. Salient features of multi resolution is closely compared with different resolutions. The approach combines well known finite difference and finite element method with wavelets. A detailed description of algorithm is attempted for simplification of the approach.
APA, Harvard, Vancouver, ISO, and other styles
8

Hou, Lei, Jun Jie Zhao, and Han Ling Li. "Finite Element Convergence Analysis of Two-Scale Non-Newtonian Flow Problems." Advanced Materials Research 718-720 (July 2013): 1723–28. http://dx.doi.org/10.4028/www.scientific.net/amr.718-720.1723.

Full text
Abstract:
The convergence of the first-order hyperbolic partial differential equations in non-Newton fluid is analyzed. This paper uses coupled partial differential equations (Cauchy fluid equations, P-T/T stress equation) on a macroscopic scale to simulate the free surface elements. It generates watershed by excessive tensile elements. The semi-discrete finite element method is used to solve these equations. These coupled nonlinear equations are approximated by linear equations. Its super convergence is proposed.
APA, Harvard, Vancouver, ISO, and other styles
9

Grande, Jörg, and Arnold Reusken. "A Higher Order Finite Element Method for Partial Differential Equations on Surfaces." SIAM Journal on Numerical Analysis 54, no. 1 (January 2016): 388–414. http://dx.doi.org/10.1137/14097820x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Sereno, C., A. Rodrigues, and J. Villadsen. "Solution of partial differential equations systems by the moving finite element method." Computers & Chemical Engineering 16, no. 6 (June 1992): 583–92. http://dx.doi.org/10.1016/0098-1354(92)80069-l.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Partial differential equations, finite element method, Oseen equations"

1

Höhne, Katharina. "Analysis and numerics of the singularly perturbed Oseen equations." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-188322.

Full text
Abstract:
Be it in the weather forecast or while swimming in the Baltic Sea, in almost every aspect of every day life we are confronted with flow phenomena. A common model to describe the motion of viscous incompressible fluids are the Navier-Stokes equations. These equations are not only relevant in the field of physics, but they are also of great interest in a purely mathematical sense. One of the difficulties of the Navier-Stokes equations originates from a non-linear term. In this thesis, we consider the Oseen equations as a linearisation of the Navier-Stokes equations. We restrict ourselves to the two-dimensional case. Our domain will be the unit square. The aim of this thesis is to find a suitable numerical method to overcome known instabilities in discretising these equations. One instability arises due to layers of the analytical solution. Another instability comes from a divergence constraint, where one gets poor numerical accuracy when the irrotational part of the right-hand side of the equations is large. For the first cause, we investigate the layer behaviour of the analytical solution of the corresponding stream function of the problem. Assuming a solution decomposition into a smooth part and layer parts, we create layer-adapted meshes in Chapter 3. Using these meshes, we introduce a numerical method for equations whose solutions are of the assumed structure in Chapter 4. To reduce the instability caused by the divergence constraint, we add a grad-div stabilisation term to the standard Galerkin formulation. We consider Taylor-Hood elements and elements with a discontinous pressure space. We can show that there exists an error bound which is independent of our perturbation parameter and get information about the convergence rate of the method. Numerical experiments in Chapter 5 confirm our theoretical results.
APA, Harvard, Vancouver, ISO, and other styles
2

Wärnegård, Johan. "A Cut Finite Element Method for Partial Differential Equations on Evolving Surfaces." Thesis, KTH, Numerisk analys, NA, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-190802.

Full text
Abstract:
This thesis deals with cut finite element methods (CutFEM) for solving partial differential equations (PDEs) on evolving interfaces. Such PDEs arise for example in the study of insoluble surfactants in multiphase flow. In CutFEM, the interface is embedded in a larger mesh which need not respect the geometry of the interface. For example, the mesh of a two dimensional space containing a curve, may be used in order to solve a PDE on the curve. Consequently, in time-dependent problems, a fixed background mesh, in which the time-dependent domain is embedded, may be used.  The cut finite element method requires a representation of the interface. Previous work on CutFEM has mostly been done using linear segments to represent the interfaces. Due to the linear interface representation the proposed methods have been of, at most, second order. Higher order methods require better than linear interface representation. In this thesis, a second order CutFEM is implemented using an explicit spline representation of the interface and the convection-diffusion equation for surfactant transport along a deforming interface is solved on a curve subject to a given velocity field.  The markers, used to explicitly represent the interface, may due to the velocity field spread out alternately cluster. This may cause the interface representation to worsen. A method for keeping the interface markers evenly spread, proposed by Hou et al., is numerically investigated in the case of convection-diffusion. The method, as implemented, is shown to not be useful.
Denna masteruppsats behandlar cut finite element methods (CutFEM) för att lösa partiella differentialekvationer (PDEs) på dynamiska gränsytor. Sådana ekvationer uppstår exempelvis i studiet av olösliga surfaktanter i flerfasflöde. I CutFEM innesluts gränsytan av ett större nät som ej behöver anpassas efter gränsytans geometri. Exempelvis kan ett tvådimensionellt nät användas för att lösa en PDE på en kurva som innesluts av nätet. Följaktligen kan ett fixt nät användas i tidberoende problem. CutFEM kräver en representation av gränsytan. I tidigare arbete har linjära segment använts för att representera gränsytan. På grund av den linjära representation av gränsytan har föreslagna metoder varit av högst andra ordningen. För att gå till högre ordningens metoder krävs en bättre representation av gränsytan. I denna uppsats implementeras CutFEM tillsammans med en explicit splinerepresentation av gränsytan för att lösa konvektions- och diffusionsekvationen för transport av surfaktanter längsmed en rörlig kurva. Metoden är av andra ordningens noggrannhet. Markörerna som används för att explicit representera ytan kan, på grund av hastighetsfältet, ömsom ansamlas ömsom spridas ut. Därvid kan approximationen av gränsytan försämras. En metod för att behålla markörerna jämt utspridda, framförd av Hou et al., undersöks numeriskt. Som implementerad i denna uppsats döms metoden ej vara användbar.
APA, Harvard, Vancouver, ISO, and other styles
3

Prinja, Gaurav Kant. "Adaptive solvers for elliptic and parabolic partial differential equations." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/adaptive-solvers-for-elliptic-and-parabolic-partial-differential-equations(f0894eb2-9e06-41ff-82fd-a7bde36c816c).html.

Full text
Abstract:
In this thesis our primary interest is in developing adaptive solution methods for parabolic and elliptic partial differential equations. The convection-diffusion equation is used as a representative test problem. Investigations are made into adaptive temporal solvers implementing only a few changes to existing software. This includes a comparison of commercial code against some more academic releases. A novel way to select step sizes for an adaptive BDF2 code is introduced. A chapter is included introducing some functional analysis that is required to understand aspects of the finite element method and error estimation. Two error estimators are derived and proofs of their error bounds are covered. A new finite element package is written, implementing a rather interesting error estimator in one dimension to drive a rather standard refinement/coarsening type of adaptivity. This is compared to a commercially available partial differential equation solver and an investigation into the properties of the two inspires the development of a new method designed to very quickly and directly equidistribute the errors between elements. This new method is not really a refinement technique but doesn't quite fit the traditional description of a moving mesh either. We show that this method is far more effective at equidistribution of errors than a simple moving mesh method and the original simple adaptive method. A simple extension of the new method is proposed that would be a mesh reconstruction method. Finally the new code is extended to solve steady-state problems in two dimensions. The mesh refinement method from one dimension does not offer a simple extension, so the error estimator is used to supply an impression of the local topology of the error on each element. This in turn allows us to develop a new anisotropic refinement algorithm, which is more in tune with the nature of the error on the parent element. Whilst the benefits observed in one dimension are not directly transferred into the two-dimensional case, the obtained meshes seem to better capture the topology of the solution.
APA, Harvard, Vancouver, ISO, and other styles
4

Andrš, David. "Adaptive hp-FEM for elliptic problems in 3D on irregular meshes." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2008. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Wells, B. V. "A moving mesh finite element method for the numerical solution of partial differential equations and systems." Thesis, University of Reading, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.414567.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Massey, Thomas Christopher. "A Flexible Galerkin Finite Element Method with an A Posteriori Discontinuous Finite Element Error Estimation for Hyperbolic Problems." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/28245.

Full text
Abstract:
A Flexible Galerkin Finite Element Method (FGM) is a hybrid class of finite element methods that combine the usual continuous Galerkin method with the now popular discontinuous Galerkin method (DGM). A detailed description of the formulation of the FGM on a hyperbolic partial differential equation, as well as the data structures used in the FGM algorithm is presented. Some hp-convergence results and computational cost are included. Additionally, an a posteriori error estimate for the DGM applied to a two-dimensional hyperbolic partial differential equation is constructed. Several examples, both linear and nonlinear, indicating the effectiveness of the error estimate are included.
Ph. D.
APA, Harvard, Vancouver, ISO, and other styles
7

Qiao, Zhonghua. "Numerical solution for nonlinear Poisson-Boltzmann equations and numerical simulations for spike dynamics." HKBU Institutional Repository, 2006. http://repository.hkbu.edu.hk/etd_ra/727.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Haque, Md Z. "An adaptive finite element method for systems of second-order hyperbolic partial differential equations in one space dimension." Ann Arbor, Mich. : ProQuest, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3316356.

Full text
Abstract:
Thesis (Ph.D. in Computational and Applied Mathematics)--S.M.U.
Title from PDF title page (viewed Mar. 16, 2009). Source: Dissertation Abstracts International, Volume: 69-08, Section: B Adviser: Peter K. Moore. Includes bibliographical references.
APA, Harvard, Vancouver, ISO, and other styles
9

Kay, David. "The p- and hp- finite element method applied to a class of non-linear elliptic partial differential equations." Thesis, University of Leicester, 1997. http://hdl.handle.net/2381/30510.

Full text
Abstract:
The analysis of the p- and hp-versions of the finite element methods has been studied in much detail for the Hilbert spaces W1,2 (omega). The following work extends the previous approximation theory to that of general Sobolev spaces W1,q(Q), q 1, oo . This extension is essential when considering the use of the p and hp methods to the non-linear a-Laplacian problem. Firstly, approximation theoretic results are obtained for approximation using continuous piecewise polynomials of degree p on meshes of triangular and quadrilateral elements. Estimates for the rate of convergence in Sobolev spaces W1,q(Q) are given. This analysis shows that the traditional view of avoiding the use of high order polynomial finite element methods is incorrect, and that the rate of convergence of the p version is always at least that of the h version (measured in terms of number of degrees of freedom). It is also shown that, if the solution has certain types of singularity, the rate of convergence of the p version is twice that of the h version. Numerical results are given, confirming the results given by the approximation theory. The p-version approximation theory is then used to obtain the hp approximation theory. The results obtained allow both non-uniform p refinements to be used, and the h refinements only have to be locally quasiuniform. It is then shown that even when the solution has singularities, exponential rates of convergence can be achieved when using the /ip-version, which would not be possible for the h- and p-versions.
APA, Harvard, Vancouver, ISO, and other styles
10

Salvatierra, Marcos Marreiro. "Modelagem matematica e simulação computacional da presença de materiais impactantes toxicos em casos de dinamica populacional com competição inter e intra-especifica." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307288.

Full text
Abstract:
Orientador: João Frederico da Costa Azevedo Meyer
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Made available in DSpace on 2018-08-05T12:58:22Z (GMT). No. of bitstreams: 1 Salvatierra_MarcosMarreiro_M.pdf: 1600898 bytes, checksum: a8beabb556b24c734508735602125989 (MD5) Previous issue date: 2005
Resumo: A proposta deste trabalho é criar um modelo para descrever computacionalmente o convívio entre duas espécies competidoras com características de migração na presença de um material impactante tóxico. As equações a serem utilizadas deverão incluir os fenômenos de dispersão populacional, processos migratórios, dinâmicas populacionais densidade-dependentes e efeitos tóxicos de um material impactante evoluindo no meio, provocando um decaimento proporcional. Recorrendo a um instrumental consagrado, embora com desenvolvimento relativamente recente, será usado um sistema clássico do tipo Lotka-Volterra (conseqüentemente não-linear) combinado a Equações Diferenciais Parciais de Dispersão-Migração. O primeiro passo é a formulação variacional discretizada deste sistema visando o uso de Elementos Finitos combinados a um método de Crank-Nicolson. Em segundo lugar, virá a formulação de um algoritmo (conjuntamente com sua programação em ambiente MATLAB) que aproxima as soluções discretas relativas a cada população em cada ponto e ao longo do intervalo de tempo considerado nas simulações. Por fim, serão obtidas saídas gráficas úteis dos pontos de vista quantitativo e qualitativo para uso em conjunto com especialistas de áreas de ecologia e meio ambiente na avaliação e na calibração de modelos e programas, bem como no estudo de estratégias de preservação, impacto e recuperação de ambientes
Abstract: The purpose of this work is to create a model to computationally describe the coexistence of two competing species with migration features in the presence of a toxic impactant material. The equations must include the phenomena of populational dispersion, migratory processes, density-dependent populational dynamics and toxic effects of the evolutive presence of an impactant material developing in the environment, generating a proportional decrease in both populations. Resorting to well-established, although relatively recent, mathematical instruments a Lotka - Volterra type (and consequently nonlinear) system, including characteristics of a Migration-Dispersion PDE. The first step is the discrete variational formulation of this system aiming for the use of the Finite Element Method toghether with a Crank-Nicolson Method. Second, the formulation of an algorithm (together with a programme in MATLAB environment) that approximates the relative discrete solutions to each population in each point and along of the time interval considered in the simulations. Lastly, useful graphics will be obtained of the quantitative and qualitative viewpoints for use with specialists of the fields of ecology and environment and in the evaluation and calibration of models and programmes
Mestrado
Mestre em Matemática Aplicada
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Partial differential equations, finite element method, Oseen equations"

1

Šolín, Pavel. Partial Differential Equations and the Finite Element Method. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2005. http://dx.doi.org/10.1002/0471764108.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Bochev, Pavel B. Least-squares finite element methods. New York: Springer, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Davies, Alan J. The finite element method: An introduction with partial differential equations. 2nd ed. New York: Oxford University Press, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Grossman, Christian. Numerical treatment of partial differential equations. Germany [1990-onward]: Springer Verlag, 2007.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Christian, Grossmann. Numerical treatment of partial differential equations. Berlin: Springer, 2007.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Baines, M. J. Moving finite elements. Oxford [England]: Clarendon Press, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Numerical solution of partial differential equations by the finite element method. Mineola, N.Y: Dover Publications, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

1943-, Johnson Claes, ed. Numerical solution of partial differential equations by the finite element method. Cambridge [England]: Cambridge University Press, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Oswald, Peter. Multilevel finite element approximation: Theory and applications. Stuttgart: Teubner, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

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

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Partial differential equations, finite element method, Oseen equations"

1

Maury, Bertrand. "Numerical Analysis of a Finite Element/Volume Penalty Method." In Partial Differential Equations, 167–85. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8758-5_9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Chaskalovic, Joël. "Finite-Element Method." In Mathematical and Numerical Methods for Partial Differential Equations, 63–109. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-03563-5_2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Dörfler, W., and K. G. Siebert. "An Adaptive Finite Element Method for Minimal Surfaces." In Geometric Analysis and Nonlinear Partial Differential Equations, 147–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55627-2_10.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Fillmore, Travis B., Varun Gupta, and Carlos Armando Duarte. "Preconditioned Conjugate Gradient Solvers for the Generalized Finite Element Method." In Meshfree Methods for Partial Differential Equations IX, 1–17. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15119-5_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Liu, Wing Kam, Adrian M. Kopacz, Tae-Rin Lee, Hansung Kim, and Paolo Decuzzi. "Immersed Molecular Electrokinetic Finite Element Method for Nano-devices in Biotechnology and Gene Delivery." In Meshfree Methods for Partial Differential Equations VI, 67–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32979-1_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Deckelnick, Klaus, and Gerhard Dziuk. "A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight." In Geometric Analysis and Nonlinear Partial Differential Equations, 249–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55627-2_15.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Mu, Lin, Junping Wang, Yanqiu Wang, and Xiu Ye. "A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations." In Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, 247–77. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7172-1_13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Hubbard, Matthew, and Martin Berzins. "A Positivity Preserving Finite Element Method for Hyperbolic Partial Differential Equations." In Computational Fluid Dynamics 2002, 205–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59334-5_28.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Chatzipantelidis, P., and V. Ginting. "A Finite Volume Element Method for a Nonlinear Parabolic Problem." In Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, 121–36. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7172-1_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Micula, Gheorghe, and Sanda Micula. "Finite Element Method for Solution of Boundary Problems for Partial Differential Equations." In Handbook of Splines, 257–94. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-5338-6_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Partial differential equations, finite element method, Oseen equations"

1

Fukuda, Naohiro, Tamotu Kinoshita, and Takayuki Kubo. "On the Finite Element Method with Riesz Bases and Its Applications to Some Partial Differential Equations." In 2013 Tenth International Conference on Information Technology: New Generations (ITNG). IEEE, 2013. http://dx.doi.org/10.1109/itng.2013.121.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Horáček, Jaromír, and Petr Sváček. "Finite Element Simulation of a Gust Response of an Ultralight 2-DOF Airfoil." In ASME 2014 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/pvp2014-28390.

Full text
Abstract:
Flexibly supported two-degrees of freedom (2-DOF) airfoil in two-dimensional (2D) incompressible viscous turbulent flow subjected to a gust (sudden change of flow conditions) is considered. The structure vibration is described by two nonlinear ordinary differential equations of motion for large vibration amplitudes. The flow is modeled by Reynolds averaged Navier-Stokes equations (RANS) and by k–ω turbulence model. The numerical simulation consists of the finite element (FE) solution of the RANS equations and the equations for the turbulent viscosity. This is coupled with the equations of motion for the airfoil by a strong coupling procedure. The time dependent computational domain and a moving grid are taken into account with the aid of the arbitrary Lagrangian-Eulerian formulation. In order to avoid spurious numerical oscillations, the SUPG and div-div stabilizations are applied. The solution of the ordinary differential equations is carried out by the Runge-Kutta method. The resulting nonlinear discrete algebraic systems are solved by the Oseen iterative process. The aeroelastic response to a sudden gust is numerically analyzed with the aid of the developed FE code. The gust responses exhibit similar oscillations as those found in literature.
APA, Harvard, Vancouver, ISO, and other styles
3

Schneider, Barry I., Klaus Bartschat, and Xiaoxu Guan. "Time Propagation of Partial Differential Equations Using the Short Iterative Lanczos Method and Finite-Element Discrete Variable Representation." In XSEDE16: Diversity, Big Data, and Science at Scale. New York, NY, USA: ACM, 2016. http://dx.doi.org/10.1145/2949550.2949565.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Dennis, Brian H. "The Inverse Least-Squares Finite Element Method Applied to the Convection-Diffusion Equation." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-12083.

Full text
Abstract:
A Least Squares Finite Element Method (LSFEM) formulation for the detection of unknown boundary conditions in problems governed by the steady convection-diffusion equation will be presented. The method is capable of determining temperatures, and heat fluxes in location where such quantities are unknown provided such quantities are sufficiently over-specified in other locations. For the current formulation it is assumed the velocity field is known. The current formulation is unique in that it results in a sparse square system of equations even for partial differential equations that are not self-adjoint. Since this formulation always results in a symmetric positive-definite matrix, the solution can be found with standard sparse matrix solvers such as preconditioned conjugate gradient method. In addition, the formulation allows for equal order approximation of temperature and heat fluxes as it is not subject to the inf-sup condition. The formulation allow for a treatment of over-specified boundary conditions. Also, various forms of regularization can be naturally introduced within the formulation. Details of the discretization and sample results will be presented.
APA, Harvard, Vancouver, ISO, and other styles
5

Brown, Joanna M., Malcolm I. G. Bloor, M. Susan Bloor, and Michael J. Wilson. "Generation and Modification of Non-Uniform B-Spline Surface Approximations to PDE Surfaces Using the Finite Element Method." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0032.

Full text
Abstract:
Abstract A PDE surface is generated by solving partial differential equations subject to boundary conditions. To obtain an approximation of the PDE surface in the form of a B-spline surface the finite element method, with the basis formed from B-spline basis functions, can be used to solve the equations. The procedure is simplest when uniform B-splines are used, but it is also feasible, and in some cases desirable, to use non-uniform B-splines. It will also be shown that it is possible, if required, to modify the non-uniform B-spline approximation in a variety of ways, using the properties of B-spline surfaces.
APA, Harvard, Vancouver, ISO, and other styles
6

Asle-Zaeem, Mohsen, and Sinisa Dj Mesarovic. "Finite Element Modeling of a Diffusion-Controlled Phase Transformation in Thin Film." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66767.

Full text
Abstract:
We derive and implement a finite element (FE) model for stress-mediated diffusion and phase transformation in thin films. The partial differential equations governing diffusion and mechanical equilibrium are of different order. To ensure uniform convergence of the FE method, the continuity class of respective interpolation functions must be different. We test our implementation on a 1D problem and demonstrate the validity of the approach.
APA, Harvard, Vancouver, ISO, and other styles
7

Ravindran, S. S. "Error Estimates for Reduced Order POD Models of Navier-Stokes Equations." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66563.

Full text
Abstract:
Reduced order modeling for the purpose of constructing a low dimensional model from high dimensional or infinite dimensional model has important applications in science and engineering such as fast model evaluations and optimization/control. A popular method for constructing reduced-order model is based on finding a suitable low dimensional basis by proper orthogonal decomposition (POD) and forming a model by Galerkin projection of the infinite dimensional model onto the basis. In this paper, we will discuss error estimates for Galerkin proper orthogonal decomposition method for an unsteady nonlinear coupled partial differential equations arising in viscous incompressible flows. A specific finite element in space and finite difference in time discretization scheme will be discussed.
APA, Harvard, Vancouver, ISO, and other styles
8

Namala, Sundar, and Rizwan Uddin. "Hybrid Nodal Integral/Finite Element Method (NI-FEM) for Time-Dependent Convection Diffusion Equation." In 2020 International Conference on Nuclear Engineering collocated with the ASME 2020 Power Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/icone2020-16703.

Full text
Abstract:
Abstract Nodal integral methods (NIM) are a class of efficient coarse mesh method that use transverse averaging to reduce the governing partial differential equation(s) (PDE) into a set of ordinary differential equations (ODE), and these ODEs or their approximations are analytically solved. Since this method depends on transverse averaging, the standard application of this approach gets restricted to domains that have boundaries that are parallel to one of the coordinate axes (2D) or coordinate planes (3D). The hybrid nodal-integral/finite-element method (NI-FEM) has been developed to extend the application of NIM to arbitrary domains. NI-FEM is based on the idea that the interior region and the regions with boundaries parallel to the coordinate axes (2D) or coordinate planes (3D) can be solved using NIM and the rest of the domain can be solved using FEM. The crux of the hybrid NI-FEM is in developing interfacial conditions at the common interfaces between the regions solved by the NIM and the FEM. Since the discrete variables in the two numerical approaches are different, this requires special treatment of the discrete quantities on the interface between the two different types of discretized elements. We here report the development of hybrid NI-FEM in a parallel framework in Fortran using PETSc for the time-dependent convection-diffusion equation (CDE) in arbitrary domains. Numerical solutions are compared with exact solutions, and the scheme is shown to be second order accurate in both space and time. The order of approximations used for the development of the scheme are also shown to be second order. The hybrid method is efficient compared to standalone conventional numerical schemes like FEM.
APA, Harvard, Vancouver, ISO, and other styles
9

Rainsberger, Robert B., Jeffrey T. Fong, and Pedro V. Marcal. "A Super-Parametric Approach to Estimating Accuracy and Uncertainty of the Finite Element Method (*)." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63890.

Full text
Abstract:
A finite element method (FEM)-based solution of an industry-grade problem with complex geometry, partially-validated material property databases, incomplete knowledge of prior loading histories, and an increasingly user-friendly human-computer interface, is extremely difficult to verify because of at least five major sources of errors or solution uncertainty (SU), namely, (SU-1) numerical algorithm of approximation for solving a system of partial differential equations with initial and boundary conditions; (SU-2) the choice of the element type in the design of a finite element mesh; (SU-3) the choice of a mesh density; (SU-4) the quality measures of a finite element mesh such as the mean aspect ratio.; and (SU-5) the uncertainty in the geometric parameters, the physical and material property parameters, the loading parameters, and the boundary constraints. To address this problem, a super-parametric approach to FEM is developed, where the uncertainties in all of the known factors are estimated using three classical tools, namely, (a) a nonlinear least squares logistic fit algorithm, (b) a relative error convergence plot, and (c) a sensitivity analysis based on a fractional factorial orthogonal design of experiments approach. To illustrate our approach, with emphasis on addressing the mesh quality issue, we present a numerical example on the elastic deformation of a cylindrical pipe with a surface crack and subjected to a uniform load along the axis of the pipe.
APA, Harvard, Vancouver, ISO, and other styles
10

Zhou, Jianping, and Zhigang Feng. "Transient Response of Distributed Parameter Systems." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4080.

Full text
Abstract:
Abstract A semi-analytic method is presented for the analysis of transient response of distributed parameter systems which are consist of one dimensional subsystems. The system is first divided into one dimensional sub-systems. Within each subsystem, replacing differentials on time t by finite difference, the governing partial differential equations are reduced to difference-differential equations. The solution of derived ordinary differential equations is obtained in an exact and closed form by distributed transfer function method and represented in nodal displacement parameters. Assemling global equilibrium equations at each nodes according to displacement continuity and force equilibrium requirements gives simutaneous linear algebraic equations. Numerical results are illustrated and compared with that of finite element method.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Partial differential equations, finite element method, Oseen equations' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography