A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint) - Softcover

Jeffrey Saltzman

9781333595029: A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint)

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ISBN 10: 1333595026 ISBN 13: 9781333595029

Publisher: Forgotten Books, 2018

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A practical guide to building adaptive computational grids that respond to the problem at hand. This book explains a variational approach to generate multidimensional meshes that stay smooth and avoid tangling while concentrating points where they matter most.

Written for engineers and scientists, it shows how to apply mesh adaptation across one, two, and three dimensions. The text blends theory with numerical results, illustrating how an adaptive grid can improve accuracy without overwhelming computational cost.

How weight and smoothness functionals shape mesh distribution and guide adaptation

Techniques to prevent mesh tangling and to handle complex boundaries

Examples in two and three dimensions, including practical engineering scenarios

Considerations for implementation, performance comparisons, and future directions

Ideal for readers of computational fluid dynamics and numerical methods seeking a flexible, principled way to resolve challenging problems with adaptive grids.

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Publisher: Forgotten Books
Publication date: 2018
Language: English
ISBN 10: 1333595026
ISBN 13: 9781333595029
Binding: Paperback
Number of pages: 181

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9780656207107: A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint)

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ISBN 10: 0656207108 ISBN 13: 9780656207107
Publisher: Forgotten Books, 2018
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A Variational Method for Generating Multidimensional Adaptive Grids

Jeffrey Saltzman

Published by Forgotten Books, 2018

ISBN 10: 1333595026 ISBN 13: 9781333595029

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Seller: Forgotten Books, London, United Kingdom

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Paperback. Condition: New. Print on Demand. This book details a novel method for optimizing mesh size and placement within computational models to maximize precision and accuracy in numerical simulations. Focusing on adaptive gridding techniques in one, two, and three dimensions, the author demonstrates how the techniques may be applied across an array of scientific disciplines. From two-point boundary value problems through to relativistic astrophysics simulations, the book covers a broad range of topics. The author explores how to balance smoothness of the mesh and how to concentrate points at areas of particular interest in multidimensional situations. The book also discusses effective strategies to avoid mesh tangling-a particularly pernicious problem in multidimensional problems-and offers a detailed exposition of spatially adaptive mesh refinement. This book will be of great interest to applied mathematicians, numerical analysts, and computational scientists, across fields such as fluid dynamics, solid mechanics, and astrophysics. 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. Seller Inventory # 9781333595029_0

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