Domain decomposition methods for the numerical solution of partial differential equations
著者
書誌事項
Domain decomposition methods for the numerical solution of partial differential equations
（Lecture notes in computational science and engineering, 61）
Springer, c2008
- : pbk.
- : e-book
大学図書館所蔵 全7件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.
目次
Decomposition Frameworks.- Schwarz Iterative Algorithms.- Schur Complement and Iterative Substructuring Algorithms.- Lagrange Multiplier Based Substructuring: FETI Method.- Computational Issues and Parallelization.- Least Squares-Control Theory: Iterative Algorithms.- Multilevel and Local Grid Refinement Methods.- Non-Self Adjoint Elliptic Equations: Iterative Methods.- Parabolic Equations.- Saddle Point Problems.- Non-Matching Grid Discretizations.- Heterogeneous Domain Decomposition Methods.- Fictitious Domain and Domain Imbedding Methods.- Variational Inequalities and Obstacle Problems.- Maximum Norm Theory.- Eigenvalue Problems.- Optimization Problems.- Helmholtz Scattering Problem.
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