WIAS Preprint No. 2130, (2015)

Mesh smoothing: An MMPDE approach


  • Huang, Weizhang
  • Kamenski, Lennard
  • Si, Hang

2010 Mathematics Subject Classification

  • 65N50 65K10


  • mesh smoothing, moving mesh method, tetrahedral meshes


We study a mesh smoothing algorithm based on the moving mesh PDE (MMPDE) method. For the MMPDE itself, we employ a simple and efficient direct geometric discretization of the underlying meshing functional on simplicial meshes. The nodal mesh velocities can be expressed in a simple, analytical matrix form, which makes the implementation of the method relatively easy and simple. Numerical examples are provided.

Appeared in

  • Research Notes, 24th International Meshing Roundtable (2015)

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