境界要素解析の精度保証のための適応的要素次数自動決定法

概要

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A self-adaptive method for the determination of element degree was developed for boundary element analysis of two-dimensional elastic problems. This method is based on acquiring the desired accuracy for each boundary element. From the numerical experiments, the relationship ξ=k(1/P)^β was deduced, where ξ is the ratio of the integral of the squared error to the integral of the squared exact value, Ρ is the element degree and β is the proportional constant. Applying this relationship to the two results for different element degrees, the element degree for the third analysis is decided. A computer program using this self-adaptive element degree determination method was developed and applied to several two dimensional elastic problems of various shapes. The usefulness of this method was illustrated by these application results.
社団法人日本機械学会の論文
1995-07-25