Least-Squares Meshfree Method and Integration Error

최소 제곱 무요소법과 적분 오차

Park, Sang-Hun;Yun, Seong-Gi

  • Published : 2001.10.01


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 Galerkin's. Therefore efficient meshfree methods can be devised by combining very simple integration algorithms and least-squares formulation.


Least-Squares;Meshfree Method;Meshless Method;Moving Least-Squares;Integration Error


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