Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures (Classic Reprint) - Tapa blanda
Sinopsis
Excerpt from Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures
In the second section, we consider the basic structure of the linear systems of equations arising in a finite element discretization. To simplify our notations, we - restrict our discussion, throughout this paper, to the case when a region is partitioned into two substructures.
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Reseña del editor
Excerpt from Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures
In the second section, we consider the basic structure of the linear systems of equations arising in a finite element discretization. To simplify our notations, we - restrict our discussion, throughout this paper, to the case when a region is partitioned into two substructures.
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.
Reseña del editor
Excerpt from Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures
Abstract. Finite element problems can often naturally be divided into subprobieas which correspond to subregions into which the region has been partitioned or from which it was originally assembled. A class of iterative aethods are discussed in which these subprobtens are solved by direct methods, while the Interaction across the curves or surfaces which divide the region is handled by a conjugate gradient method. A mathematical framework for this work is provided by regularity theory for elliptic finite eleaent problems and by block Gaussian elimination. A full development of the theory, which shows that certain of these The first author was supported by the U.S. Department of Energy under contract DE-AC02-76ERO-3077, at the Courant Mathematics and Computing Laboratory, while he held a postdoctoral position at the Courant Institute.
The second author was supported by the National Science Foundation under contract NSF-DCR-840 S506 and by the U. S. Departnent of Energy under contract DE-AC02-76ER0-3077, at the Courant Mathematics and Computing Laboratory.
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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Iterative Methods for the Solution of Elliptic Problems on Regions
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Paperback. Condición: New. Print on Demand. This book advances the research into iterative methods for solving elliptic finite element problems on regions that have been partitioned into substructures. The author shows that certain of these methods are optimal and gives a full development of the theory for second order linear elliptic problems in the plane when using Lagrangian finite element approximations. The theory is then extended, using different mathematical tools, to general planar regions and arbitrary conforming Lagrangian finite element approximations. The text concludes with numerical experiments that show the methods perform very well in practice. This book will be of interest to researchers and practitioners in the field of numerical analysis and scientific computing. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781332090440_0
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Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332090440
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Iterative Methods for the Solution of Elliptic Problems on Regions, Partitioned Into Substructures (Classic Reprint)
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332090440
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