Meshfree Petrov-Galerkin methods for the incompressible Navier-Stokes equations

Thomas Peter Fries, Hermann Georg Matthies

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Meshfree stabilised methods are employed and compared for the solution of the incompressible Navier-Stokes equations in Eulerian formulation. These Petrov-Galerkin methods are standard tools in the FEM context, and can be used for meshfree methods as well. However, the choice of the stabilisation parameter has to be reconsidered. We find that reliable and successful approximation with standard formulas for the stabilisation parameter can only be expected for shape functions with small supports or dilatation parameters.

Original languageEnglish
Title of host publicationMeshfree Methods for Partial Differential Equations II
Number of pages16
Publication statusPublished - 2005

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)14397358

ASJC Scopus subject areas

  • Engineering(all)
  • Computational Mathematics
  • Modelling and Simulation
  • Control and Optimization
  • Discrete Mathematics and Combinatorics

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