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Geometric diagram for representing shape quality in mesh refinement

Suárez, José P., Plaza, Ángel, Moreno, Tania (2015)

Application of Mathematics 2015

We review and discuss a method to normalize triangles by the longest-edge. A geometric diagram is described as a helpful tool for studying and interpreting the quality of triangle shapes during iterative mesh refinements. Modern CAE systems as those implementing the finite element method (FEM) require such tools for guiding the user about the quality of generated triangulations. In this paper we show that a similar method and corresponding geometric diagram in the three-dimensional case do not exist....

h p -anisotropic mesh adaptation technique based on interpolation error estimates

Dolejší, Vít (2013)

Applications of Mathematics 2013

We present a completely new h p -anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic...

Currently displaying 501 – 520 of 1552