有限要素法の事後誤差評価結果を利用した順応型要素分割法に関する研究

概要

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Adaptive mesh generation using a posteriori error estimation has recently attracted great interest. This paper proposes a new r-method of adaptive mesh generation for the finite element method. The objective function of this method is to minimize the error norm of the whole computational domain. It is very impotant for the adaptive mesh generation to estimate the numerical error accurately. The discretization error in the finite element method is estimated using the computer code ERRAND-FEM developed by the authors. In order to verify the newly proposed adaptive method, we have chosen two 2-dimensional stress concentration and singularity problems. The results show the validity and the effectiveness of this method. Since ;his method is very simple and flexible, it is quite possible to extend it to any other problems, such as shell problems or solid problems.
社団法人日本船舶海洋工学会の論文