Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techn...

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Principais autores: Mathew, Tarek Poonithara Abraham., SpringerLink (Online service)
Formato: Digital
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Assuntos:
Equações diferenciais parciais.
Computação -
Matemática.
Engenharia.
Endereço do item:http://dx.doi.org/10.1007/978-3-540-77209-5
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spelling oai:localhost:123456789-1297952023-07-17T15:13:12Z Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Mathew, Tarek Poonithara Abraham. SpringerLink (Online service) Equações diferenciais parciais. Computação - Matemática. Engenharia. Matemática. Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included. 0 2022-10-06T07:51:13Z 2022-10-06T07:51:13Z 2008. Digital 517.95 M428d 9783540772095 197814 http://dx.doi.org/10.1007/978-3-540-77209-5 http://dx.doi.org/10.1007/978-3-540-77209-5
institution Acervo SISBI
collection SIGAA
topic Equações diferenciais parciais.
Computação -
Matemática.
Engenharia.
Matemática.
spellingShingle Equações diferenciais parciais.
Computação -
Matemática.
Engenharia.
Matemática.
Mathew, Tarek Poonithara Abraham.
SpringerLink (Online service)
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
description Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included.
format Digital
author Mathew, Tarek Poonithara Abraham.
SpringerLink (Online service)
author_facet Mathew, Tarek Poonithara Abraham.
SpringerLink (Online service)
author_sort Mathew, Tarek Poonithara Abraham.
title Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
title_short Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
title_full Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
title_fullStr Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
title_full_unstemmed Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
title_sort domain decomposition methods for the numerical solution of partial differential equations
publishDate 2022
url http://dx.doi.org/10.1007/978-3-540-77209-5
work_keys_str_mv AT mathewtarekpoonitharaabraham domaindecompositionmethodsforthenumericalsolutionofpartialdifferentialequations
AT springerlinkonlineservice domaindecompositionmethodsforthenumericalsolutionofpartialdifferentialequations
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