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A Matlab mesh generator for the two-dimensional finite element method

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  • Koko, Jonas

Abstract

A new Matlab code for the generation of unstructured (3-node or 6-node) triangular meshes in two dimensions is proposed. The method is based on the Matlab mesh generator distmesh of Persson and Strang (2004). As input, the code takes a signed distance function for the domain geometry. A mesh size function, for the spatial node distribution, is constructed using an approximate medial axis. As outputs, the code generates a 3-node or a 6-node triangular mesh with boundary data (edges and nodes). The approach presented consists of three steps: (1) an initial nodes placement is obtained using a probabilistic node distribution, (2) an iterative smoothing is performed assuming the presence of an attractive/repulsive internode force, and (3) a fast refinement procedure is performed for 6-node triangular meshes or large scale meshes.

Suggested Citation

  • Koko, Jonas, 2015. "A Matlab mesh generator for the two-dimensional finite element method," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 650-664.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:650-664
    DOI: 10.1016/j.amc.2014.11.009
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    Cited by:

    1. Chorfi, Amina & Koko, Jonas & Bodart, Olivier, 2021. "A fictitious domain decomposition method for a nonlinear bonded structure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 114-125.

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