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A Galerkin meshfree method with diffuse derivatives and stabilization

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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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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA

    Donald A. French

  2. Escuela de Matemáticas, Universidad Nacional de Colombia, Apartado Aéreo, 3840, Medellín, Colombia

    Mauricio Osorio

Authors
  1. Donald A. French
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  2. Mauricio Osorio
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Correspondence to Donald A. French.

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French, D.A., Osorio, M. A Galerkin meshfree method with diffuse derivatives and stabilization. Comput Mech 50, 657–664 (2012). https://doi.org/10.1007/s00466-012-0697-7

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  • DOI: https://doi.org/10.1007/s00466-012-0697-7

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