境界要素解析における精度保証のための適応的自動要素分割技法

抄録

A self-adaptive mesh refinement technique is developed for boundary element analyses of two-dimensional elastic problems. This method is based on acquiring the desired accuracy for each element. From the numerical experiments for uniform mesh division, the relation ξ^αh^β is deduced, where ξ is the integral of the squared absolute error of displacement or traction along the boundary, and h is the mesh diameter. Applying this relation to two results for different mesh diameters, the number of a third division is decided. A computer program using this self-adaptive mesh refinement technique is developed and applied to several problems involving various shapes by the constant or quadratic element. The usefulness of this refinement technique is illustrated by the application results.