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Adaptive Analysis Methods for the Accuracy Control of Finite Element Solutions

유한요소해의 정확도 조절을 위한 적응해석법

  • Oh, H.S (Dept. of Mechanical Design, Graduate School of Hanyang University) ;
  • Lee, D.I (Dept. of Mechanical Design, Graduate School of Hanyang University) ;
  • Choi, J.H (Graduate School of Hanyang University Hospital) ;
  • Lim, J.K (Dept. of Mechanical Design, Hanyang University)
  • 오형석 (한양대학교 대학원 기계설계학과) ;
  • 이대일 (한양대학교 대학원 기계설계학과) ;
  • 최준형 (한양대학교 대학원 항공공학과) ;
  • 임장근 (한양대학교 기계설계학과)
  • Published : 1996.07.01

Abstract

In adaptive finite element analysis, r- and h-methods are generally used on the basis of a discretization error estimator. In this paper, an rh-method is proposed as a new adaptive method which can improve the adaptivity performance by using both of them. This suggested rh-method moves nodal coordinates of initially given model to adjust element discretization errors and thereafter performes the h-method tdo obtain the specified accuracy of finite element solutions. Numerical experiments for various plane problems were performed using 4-noded isoparametric quadrilateral elements. As a result, the rh-method has been shown to be an accurate and efficient adaptive analysis method to obtain as improved solution.

Keywords

Adaptive Finite Element Analysis;Discretization Error;Stress Error Norm;h-Method;r-Method;rh-Method