選点型Trefftz法に対するh-アダプティブ法について

概要

論文の詳細を見る
Trefftz method is known as the boundary-type solution procedure based on the non-singular formulation. Therefore, the input data generation is easier than the domain-type solution procedures. Moreover, the formulation is non-singular and easiler than the ordinary boundary element method employing the singular fundamental solution. In this paper, the Trefftz method is formulated by means of the collocation formulation. In this case, the input data is simple and the computational efficiency becomes very high. The computational accuracy, however, is strongly dependent on the placement of the boundary collocation points. For determining the placement with the desired accuracy, this paper presents the h-adaptive scheme for the placement. Global and local error estimators are defined by the residuals of the boundary conditions. The placement of the points is refined so that new collocation points are placed at the middle of the boundary segments whose local error estimators are greater than the global error estimator. The present scheme is applied to the two-dimensional potential problem in order to discuss the validity.
日本シミュレーション学会の論文
1997-09-15