エレメントフリーガラーキン法に関する基礎的検討 : 第1報,常微分方程式への適用

To introduce the numerical simulation technique for the design sites of industrial products, a "CAD/CAE seamless" system from modeling to computation is desired. A gridless or element-free method is expected to be an effective procedure for realizing such system, because time-consuming mesh generation processes can be omitted. The Element-free Galerkin method (EFGM) proposed by Belytschko et al(6). is one of the practical gridless methods. This study describes an application of EFGM to solve boundary problems of a one-dimensional ordinary differential equation. A new methodology of enforcing the essential boundary condition in the EFGM formulation is proposed, and the accuracy of the present method is verified.