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Tarek Mathew 
Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations 

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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.

€96.29
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Mục lục

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.
Ngôn ngữ Anh ● định dạng PDF ● Trang 770 ● ISBN 9783540772095 ● Kích thước tập tin 6.9 MB ● Nhà xuất bản Springer Berlin ● Thành phố Heidelberg ● Quốc gia DE ● Được phát hành 2008 ● Có thể tải xuống 24 tháng ● Tiền tệ EUR ● TÔI 2163968 ● Sao chép bảo vệ DRM xã hội

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