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

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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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Details

Publisher - Forgotten Books

Language - English

Author(s) - Jeffrey Saltzman

Hardback

Published Date - August 23 2019

ISBN - 9780656207107

Dimesions - 22.9 x 15.2 x 1.3 cm

Page Count - 179

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