최소 제곱 무요소법과 적분 오차

Abstract

Least-squares meshfree method is presented. Conventional meshfree methods based on the Galerkin formulation suffer from inaccurate numerical integration. Least-squares formulation exhibits rather different integration-related characteristics. It is demonstrated through numerical examples that least-squares formulation is much more robust to integration errors than the Galerkins. Therefore efficient meshfree methods can be devised by combining very simple integration algorithms and least-squares formulation.