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A tutorial Galerkin meshfree code

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Meshfree or meshless methods were born to replace the traditional finite element in applications where meshing a complex geometry and/or excessive remeshing is involved.

This code, written by Vinh Phu Nguyen, implements one and two dimensional Element Free Galerkin (EFG) method which is one of the most common meshfree methods for elasticity. It also implements Partition of Unity based enrichment for weak and strong discontinuities. The method and the implementation are described in the following article

Meshless methods: a review and computer implementation aspects VP Nguyen, T Rabczuk, S Bordas, M Duflot, Mathematics and computer s in simulation 79 (3), 763-813.

ElemFreGalerkin Web Site


  • One and two dimensional Element Free Galerkin (EFG)
  • Partition of Unity based enrichment for weak and strong discontinuities
  • Domain integration with background mesh or cells


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Intended Audience

Education, Engineering



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