Description
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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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.
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.
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.
Details
Publisher - Forgotten Books
Author(s) - Jeffrey Saltzman
Hardback
Published Date -
ISBN - 9780656207107
Dimensions - 22.9 x 15.2 x 1.3 cm
Page Count - 179
Paperback
Published Date -
ISBN - 9781333595029
Dimensions - 22.9 x 15.2 x 1 cm
Page Count - 181
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