Regularization of heptahedra using geometric element transformation method

Buddhadev Pal, Santu Dey, Arindam Bhattacharyya

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.

Keywords

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

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