Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems (Classic Reprint)

Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems (Classic Reprint)
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Publisher : Forgotten Books
Total Pages : 26
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ISBN-10 : 1334016143
ISBN-13 : 9781334016141
Rating : 4/5 (141 Downloads)

Book Synopsis Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems (Classic Reprint) by : Olof Widlund

Download or read book Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems (Classic Reprint) written by Olof Widlund and published by Forgotten Books. This book was released on 2016-10-20 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems In the second section of this paper, we introduce a framework similar to Lions' and also an additive parallel) version of the Schwarz algorithm. While Lions considered the continuous problems, we work consistently with conforming finite element approximations; cf. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


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Finally, we study a Dirichlet-Neumann type algorithm for the mixed finite element case involving two non-overlapping subdomians. We use this as a preconditioner