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Natural hierarchical refinement for finite element methods

✍ Scribed by Petr Krysl; Eitan Grinspun; Peter Schröder

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
424 KB
Volume
56
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

Current formulations of adaptive finite element mesh refinement seem simple enough, but their implementations prove to be a formidable task. We offer an alternative point of departure which yields equivalent adapted approximation spaces wherever the traditional mesh refinement is applicable, but our method proves to be significantly simpler to implement. At the same time it is much more powerful in that it is general (no special tricks are required for different types of finite elements), and applicable for some newer approximations where traditional mesh refinement concepts are not of much help, for instance on subdivision surfaces. Copyright © 2003 John Wiley & Sons, Ltd.

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