The least-squares meshfree method

A new e6cient meshfree method is presented in which the 9rst-order least-squares method is employed instead of the Galerkin’s method. In the meshfree methods based on the Galerkin formulation, the source of many di6culties is in the numerical integration. The current method, in this respect, has di>erent characteristics and is expected to remove some of the integration-related problems. It is demonstrated through numerical examples that the present formulation is highly robust to integration errors. Therefore, numerical integration can be performed with great ease and e>ectiveness using very simple algorithms