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Defeaturing: A posteriori error analysis via feature sensitivity
Author(s) -
Turevsky Inna,
Gopalakrishnan Sankara Hari,
Suresh Krishnan
Publication year - 2008
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.2345
Subject(s) - a priori and a posteriori , sensitivity (control systems) , feature (linguistics) , scalar (mathematics) , finite element method , partial differential equation , algorithm , computer science , reliability (semiconductor) , mathematics , mathematical analysis , geometry , engineering , linguistics , power (physics) , physics , structural engineering , epistemology , philosophy , quantum mechanics , electronic engineering
It is well known that small geometric features within a CAD model can significantly impact the computational cost, and often undermine the reliability, of finite element analysis. Engineers therefore resort to defeaturing or detail removal, wherein the offending features are suppressed prior to computational analysis. However, this results in a defeaturing‐induced analysis error. In this paper, we estimate this error in an a posteriori sense through the novel concept of feature sensitivity . The latter determines the first‐order change in quantities of interest when an arbitrary cluster of small geometric features is deleted from a model. A formal theory and a set of associated algorithms are provided to compute the feature sensitivity associated with a scalar elliptic partial differential equation. The theory is supported through numerical experiments in 2‐D, involving both internal and boundary features. Copyright © 2008 John Wiley & Sons, Ltd.