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Natural hierarchical refinement for finite element methods
Author(s) -
Krysl Petr,
Grinspun Eitan,
Schröder Peter
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.601
Subject(s) - finite element method , computer science , subdivision , simple (philosophy) , adaptive mesh refinement , implementation , mathematical optimization , algorithm , point (geometry) , polygon mesh , mathematics , scheme (mathematics) , computational science , theoretical computer science , geometry , programming language , mathematical analysis , engineering , structural engineering , computer graphics (images) , philosophy , civil engineering , epistemology
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.