A Galerkin meshfree method with diffuse derivatives and stabilization

作者：French Donald A^*; Osorio Mauricio

来源：Computational Mechanics, 2012, 50(5): 657-664.

DOI：10.1007/s00466-012-0697-7

• Meshfree methods
• Diffuse derivatives
• Moving least squares
• Diffuse element method and error estimates

A theoretical error analysis of a new meshfree method with diffuse derivatives and penalty stabilization is provided for the approximation of solutions of elliptic boundary value problems. Computational results confirming the predicted convergence rates are also presented. The accuracy of this stabilized scheme improves as the degree of the polynomials in the implementation are increased.

• 出版日期2012-11