书目名称 | Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations | 编辑 | Tarek Poonithara Abraham Mathew | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Lecture Notes in Computational Science and Engineering | 图书封面 |  | 描述 | .Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. The topics discussed include hybrid formulations, Schwarz, substructuring and Lagrange multiplier methods for elliptic equations, computational issues, least squares-control methods, multilevel methods, non-self adjoint problems, parabolic equations, saddle point applications (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 also included.. | 出版日期 | Book 2008 | 关键词 | algorithm; algorithms; differential equation; finite elements; linear algebra; numerical analysis; optimiz | 版次 | 1 | doi | https://doi.org/10.1007/978-3-540-77209-5 | isbn_softcover | 978-3-540-77205-7 | isbn_ebook | 978-3-540-77209-5Series ISSN 1439-7358 Series E-ISSN 2197-7100 | issn_series | 1439-7358 | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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