2020 Bスプラインウェーブレットガラーキン法を用いたアダプティブ解析に関する研究(S04-3 FEM/メッシュフリー法/粒子法とその関連技術(3),S04 FEM/メッシュフリー法/粒子法とその関連技術)

抄録

An adaptive B-spline wavelet Galerkin method is adopted to the solid and structural analyses. The B-spline scaling function and wavelets used as the basis functions have simple forms and are relatively easy to integrate and differentiate. The basis functions have the so called multiresolution properties. High gradient region of stresses and strains can be refined by the superposition of the different length scale basis functions. As the wavelet Galerkin method is discretized based on structured cells, there are no re-meshing processes for the refinement of the solution. Due to control the spatial resolution of the wavelet Galerkin solution based on the posteriori estimate of its discretization error, an adaptive analysis is adopted. In this paper, adaptive B-spline wavelet Galerkin analyses to the stress concentration problems are performed.