Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 56, Issue 8, Pages 1109-1124Publisher
WILEY
DOI: 10.1002/nme.601
Keywords
finite element; mesh refinement; hierarchical; adaptive approximation; subdivision surface; subdivision element method
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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 (C) 2003 John Wiley Sons, Ltd.
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