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Smooth and convex grid generation over general plane regions1Supported by CONACyT and U.M.S.N.H.1

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  • Tinoco-Ruiz, J.G.
  • Barrera-Sánchez, P.

Abstract

A new method to produce convex and smooth grids over general plane regions is introduced. This method belongs to the discrete variational grid generation approach. Theoretical results presented guarantee that a convex grid over a region is obtained when this method is applied; the basic assumption is that at least one convex grid exists. A procedure to control large cells, in addition to smoothness and convexity, is also presented. Experimental results, showing the effectiveness of these methods, are reported.

Suggested Citation

  • Tinoco-Ruiz, J.G. & Barrera-Sánchez, P., 1998. "Smooth and convex grid generation over general plane regions1Supported by CONACyT and U.M.S.N.H.1," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 46(2), pages 87-102.
    • Handle: RePEc:eee:matcom:v:46:y:1998:i:2:p:87-102
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    Cited by:

    1. Barrera-Sánchez, Pablo & Castellanos Noda, Longina & Domínguez-Mota, Francisco J. & González Flores, Guilmer F. & Domínguez, Angel Pérez, 2009. "Adaptive discrete harmonic grid generation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(6), pages 1792-1809.
    2. Domínguez-Mota, Francisco J. & Armenta, Sanzon Mendoza & Tinoco-Guerrero, G. & Tinoco-Ruiz, J.G., 2014. "Finite difference schemes satisfying an optimality condition for the unsteady heat equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 106(C), pages 76-83.

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