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Excerpt from A Variational Method for Generating Multidimensional Adaptive Grids
This paper discusses adaptive meshes that are generated by the use of variational principles. These adaptive meshes are used in conjunction with finite difference methods to continuously rezone calculations. The fixed number of mesh vertices are moved in a manner which enhances the numerical accuracy of these finite difference schemes when solving singular problems.
Adaptive 'meshes are the subject of a; rather large and varied research effort. However, a definition can be developed that encompasses most of the areas of research. An adaptive computation mesh is one that is generated in response to the structure of a problem so as to enhance the numerical accuracy of the associated differencing scheme. It is the method of generating the mesh that gives this area its diversity.
Several different methods of generating an adaptive mesh will be discussed. The methods can be categorized in many ways, but three categories are chosen here. They are fixed meshes, selectively refined meshes and moving meshes.
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- PublisherForgotten Books
- Publication date2019
- ISBN 10 1333595026
- ISBN 13 9781333595029
- BindingPaperback
- LanguageEnglish
- Number of pages181
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A Variational Method for Generating Multidimensional Adaptive Grids
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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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A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint)
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Paperback. Condition: Brand New. 182 pages. 8.90x5.98x0.47 inches. This item is printed on demand. Seller Inventory # zk1333595026
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 182 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 27192177/1
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