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.
Tarek Mathew
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
语言 英语 ● 格式 PDF ● 网页 770 ● ISBN 9783540772095 ● 文件大小 6.9 MB ● 出版者 Springer Berlin ● 市 Heidelberg ● 国家 DE ● 发布时间 2008 ● 下载 24 个月 ● 货币 EUR ● ID 2163968 ● 复制保护 社会DRM