1111 固有値の事後誤差評価
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概要
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In the finite element method errors occur depending on the number of elements and their arrangement. It is very important for optimal design to estimate these errors. For this reason, a posteriori error estimation methods have been developed. In structural problems many of these error estimation methods are for static problems. However there are few error estimation methods for eigenvalue problems. In this paper a method of a posteriori error estimation for eigenvalue problems is presented. This method is based on the fact that eigenvalue problems are equivalent to the minimization of the Rayleigh quotient. This estimation is done by element-wise static analysis and correction using a convergence order of an a priori estimate. Simple numerical examples are shown.
- 一般社団法人日本機械学会の論文
- 2003-11-22