Sufficient Conditions for Mesh-Distortion Immune Finite Elements
Abstract
Sufficient conditions are proposed for a displacement-based finite element to be immune to mesh-distortion effects. Numerical results confirm that an illustrative element satisfying these conditions is indeed capable of giving mesh-distortion immune performance (i.e., nodal solution) even for extremely severe mesh-distortions for which the Jacobian of isoparametric transformation goes negative! This is partially due to the fact that the stiffness integral is rendered free of Jacobian term.
- Publication:
-
Computational Mechanics and the Enhancement and Promotion of Computational Methods in Engineering and Science
- Pub Date:
- May 2010
- DOI:
- 10.1063/1.3452124
- Bibcode:
- 2010AIPC.1233.1471R
- Keywords:
-
- finite element analysis;
- integral equations;
- functional analysis;
- matrix algebra;
- 47.11.Fg;
- 02.30.Rz;
- 02.30.Sa;
- 02.10.Yn;
- Finite element methods;
- Integral equations;
- Functional analysis;
- Matrix theory