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Adaptive Finite Element Analysis of 2-D Plane Problems Using the rp-Method  

박병성 (현대ㆍ기아연구개발본부)
임장근 (한양대학교 기계공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.17, no.1, 2004 , pp. 1-10 More about this Journal
Abstract
Adaptive finite element analysis, in which its solution error meets with the user defined allowable error, is recently used to improve the reliability of finite element analysis results. This adaptive analysis is composed of two procedures; one is the error estimation of an analysis result and the other is the reconstruction of finite elements. In the (p-method, an element size is controlled by relocating of nodal positions (r-method) and the order of an element shape function is determined by the hierarchical polynomial (p-method) corresponding to the clement solution error by the enhanced SPR. In order to show the effectiveness and the accuracy of the suggested rp-method, various numerical examples were analyzed and these analysis results were examined by comparing with those obtained by the existed methods.
Keywords
adaptive finite element analysis; rp-method; error estimation; SPR(super convergent patch recovery); super-convergent point; r-method; p-method;
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