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Domain Decomposition Iterative Refinement by Mathew Tarek (27 results)
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
Published by Legare Street Press 2022-10, 2022
ISBN 10: 1016234023 ISBN 13: 9781016234023
Language: English
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems (Classic Reprint)
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems (Classic Reprint)
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
Published by Creative Media Partners, LLC Okt 2022, 2022
ISBN 10: 1016234023 ISBN 13: 9781016234023
Language: English
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
Published by Creative Media Partners, LLC Okt 2022, 2022
ISBN 10: 1016229275 ISBN 13: 9781016229272
Language: English
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Add to basketPaperback. Condition: New. Print on Demand. This book explores iterative methods to solve saddle point linear systems, focusing on those derived from mixed finite element discretizations of elliptic Neumann problems using Raviart-Thomas elements. The book begins by establishing a theoretical framework. It then provides a proof of convergence of the iterative methods when applied to the mixed finite element case, showing that the rate of convergence is independent of the mesh parameter h. The book goes on to study algorithms involving subdomains with overlap, such as the classical Schwarz alternating method and the additive Schwarz method. It offers proofs of convergence for these iterative methods when applied to the mixed finite element case, again demonstrating that the rate of convergence is independent of h. Finally, the book examines a Dirichlet-Neumann algorithm for the mixed finite element case, providing a proof of convergence showing independence from h. The book concludes by discussing quantitative bounds for some many-level FAC algorithms. The author's insights are significant because they establish the convergence of iterative methods for solving saddle point linear systems arising from mixed finite element discretizations of elliptic Neumann problems, and they show that the rate of convergence is independent of the mesh parameter h. 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.
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
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Add to basketPaperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
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Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems
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Add to basketHardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 156.
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