Iterative Methods for the Solution of Elliptic Problems on Regions

Petter E. Bjorstad, Olof B. Widlund

ISBN 10: 1332090443 ISBN 13: 9781332090440

Published by Forgotten Books, 2018

Language: English

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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.

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Bibliographic Details

Title

Iterative Methods for the Solution of Elliptic Problems on Regions

Publisher

Forgotten Books

Publication Date

2018

Language

English

ISBN 10

1332090443

ISBN 13

9781332090440

Binding

Paperback

Condition

New

Book Type

print-on-demand item

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Calculus

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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.

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Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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