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A robust direct variational approach for generation of quadrangular and triangular grids on planar domains

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  • Egidi, N.
  • Maponi, P.

Abstract

We consider the problem of the quadrangular and triangular grid generation. The algorithm proposed for the solution of this problem is based on a generalization of the so called variational method. In particular, this generalization takes into account a combination of length and area functionals for a given triangular grid related to the quadrangular grid under consideration. As a consequence of this generalization high quality triangular grids of a given domain are obtained in a straightforward way from the quadrangular grids computed by this algorithm. We test the proposed algorithm on standard numerical examples.

Suggested Citation

  • Egidi, N. & Maponi, P., 2007. "A robust direct variational approach for generation of quadrangular and triangular grids on planar domains," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(5), pages 171-181.
    • Handle: RePEc:eee:matcom:v:75:y:2007:i:5:p:171-181
    DOI: 10.1016/j.matcom.2006.12.004
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    Keywords

    Grid generation; Variational problem;

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