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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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

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