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An Adaptivity Procedure Based on the Gradient of Strain Energy Density and its Application in Meshless Methods

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Meshfree Methods for Partial Differential Equations

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 26))

Abstract

A gradient-based adaptation procedure is proposed in this paper. The relative error in total strain energy from two adjacent adaptation stages is used as a stop-criterion. The refinement-coarsening is guided by the gradient of strain energy density. The procedure is then implemented in Element-Free Galerkin method. Numerical examples are presented to show the performance of the proposed procedure.

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Luo, Y., Häussler-Combe, U. (2003). An Adaptivity Procedure Based on the Gradient of Strain Energy Density and its Application in Meshless Methods. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56103-0_18

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  • DOI: https://doi.org/10.1007/978-3-642-56103-0_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43891-5

  • Online ISBN: 978-3-642-56103-0

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