168 Adaptive X-FEM considering both geometrical and posteriori errors

概要

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X-FEM (eXtended Finite Element Method) is a powerful method to handle arbitrary shaped domain with fixed mesh by introducing embedded functions in element-wise approximation, as an alternative of conventional FEM, which is very effective for moving boundary problems such as crack propagations, two-phase flow problems and optimal design. However there exist two sources of numerical error in X-FEM, caused from the poor geometrical representation in partitioned numerical integration and the discretized error in fixed mesh as in usual FEM. Since the quality of optimal design greatly depends on the quality of CAE solution, this is a big issue if you apply X-FEM to optimal design seriously. In this paper, we'll newly propose a two-step algorithm with geometrical error control by partitioned numerical integration and h-adaptation with posteriori error estimation for X-FEM.
社団法人日本機械学会の論文
2006-11-02