A Galerkin meshfree method with diffuse derivatives and stabilization |
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| Authors: | Donald A. French Mauricio Osorio |
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| Affiliation: | 1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA
2. Escuela de Matemáticas, Universidad Nacional de Colombia, Apartado Aéreo, 3840, Medellín, Colombia
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| Abstract: | 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. |
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