Some Domain Decomposition Algorithms for Elliptic Problems (Classic Reprint) - Softcover

M. Dryja

 
9781332961429: Some Domain Decomposition Algorithms for Elliptic Problems (Classic Reprint)

Synopsis

This book explores domain decomposition methods that solve large linear systems of equations arising from elliptic boundary value problems. These equations often emerge when discretizing partial differential equations used in fluid dynamics, elasticity, and other important applications. The author discusses how to efficiently solve these problems using domain decomposition methods on parallel computers. The book provides a comprehensive framework for designing and analyzing these methods, and it highlights the importance of using subspaces and projections to accelerate convergence. The author also explores the use of iterative substructuring methods, which do not use any overlap between subregions, and shows how they can be used to obtain fast rates of convergence. Overall, this book offers a valuable resource for researchers and practitioners working on the numerical solution of partial differential equations.

"synopsis" may belong to another edition of this title.

Other Popular Editions of the Same Title