Domain decomposition methods for the numerical solution of partial differential equations
Author(s)
Bibliographic Information
Domain decomposition methods for the numerical solution of partial differential equations
（Lecture notes in computational science and engineering, 61）
Springer, c2008
- : pbk.
- : e-book
Available at / 7 libraries
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"
