Geometric diagram for representing shape quality in mesh refinement

@inProceedings{Suárez2015,
abstract = {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.},
author = {Suárez, José P., Plaza, Ángel, Moreno, Tania},
booktitle = {Application of Mathematics 2015},
keywords = {mesh generation; longest-edge refinement; geometric diagram; mesh regularity},
location = {Prague},
pages = {225-235},
publisher = {Institute of Mathematics CAS},
title = {Geometric diagram for representing shape quality in mesh refinement},
url = {http://eudml.org/doc/287789},
year = {2015},
}

TY - CLSWK
AU - Suárez, José P.
AU - Plaza, Ángel
AU - Moreno, Tania
TI - Geometric diagram for representing shape quality in mesh refinement
T2 - Application of Mathematics 2015
PY - 2015
CY - Prague
PB - Institute of Mathematics CAS
SP - 225
EP - 235
AB - 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.
KW - mesh generation; longest-edge refinement; geometric diagram; mesh regularity
UR - http://eudml.org/doc/287789
ER -