Coupling of mesh-free methods with finite elements: Basic concepts and test results

Timon Rabczuk, Shao Ping Xiao, M. Sauer

Research output: Contribution to journalReview articlepeer-review

183 Citations (Scopus)


This paper reviews several novel and older methods for coupling mesh-free particle methods, particularly the element-free Galerkin (EFG) method and the smooth particle hydrodynamics (SPH), with finite elements (FEs). We study master-slave couplings where particles are fixed across the FE boundary, coupling via interface shape functions such that consistency conditions are satisfied, bridging domain coupling, compatibility coupling with Lagrange multipliers and hybrid coupling methods where forces from the particles are applied via their shape functions on the FE nodes and vice versa. The hybrid coupling methods are well suited for large deformations and adaptivity and the coupling procedure is independent of the particle distance and nodal arrangement. We will study the methods for several static and dynamic applications, compare the results to analytical and experimental data and show advantages and drawbacks of the methods.

Original languageEnglish
Pages (from-to)1031-1065
Number of pages35
JournalCommunications in Numerical Methods in Engineering
Issue number10
Publication statusPublished - 2006 Oct


  • Adaptivity
  • EFG
  • Mesh-free particle methods
  • SPH

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • General Engineering
  • Computational Theory and Mathematics
  • Applied Mathematics


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