Regularization of heptahedra using geometric element transformation method

Authors

  • Buddhadev Pal Institute of Science, Department of Mathematics, Banaras Hindu University, Varanasi, Uttar Pradesh 221005, India
  • Santu Dey Department of Mathematics, Jadavpur University, Kolkata-700032, India
  • Arindam Bhattacharyya Department of Mathematics, Jadavpur University, Kolkata-700032, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.2346

Keywords:

Heptahedron, mesh quality, iterative method, regularization, finite element mesh, cost functions

Abstract

By Geometric element transformation method (GETMe) always we get a new element. In this paper, we investigate the regularization of heptahedra using GETMe. Energy function is a cost function for heptahedra which is also applicable for octahedra, decahedra, hexahedra etc. is defined by a particular process, which we call base diagonal apex method (BDAMe). We also try to find the characterization of different cost function using BDAMe when we transform a heptahedra by GETMe.

Author Biographies

  • Santu Dey, Department of Mathematics, Jadavpur University, Kolkata-700032, India
    J.R.F, Deptt. of Mathematics, Jadavpur University
  • Arindam Bhattacharyya, Department of Mathematics, Jadavpur University, Kolkata-700032, India
    Mathematics, Associate Professor

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Published

2018-02-03

Issue

Vol. 11 No. 1: (January 2018)

Section

Topology

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How to Cite

Regularization of heptahedra using geometric element transformation method. (2018). European Journal of Pure and Applied Mathematics, 11(1), 315-330. https://doi.org/10.29020/nybg.ejpam.v11i1.2346