Sufficient Conditions for MeshDistortion Immune Finite Elements
Abstract
Sufficient conditions are proposed for a displacementbased finite element to be immune to meshdistortion effects. Numerical results confirm that an illustrative element satisfying these conditions is indeed capable of giving meshdistortion immune performance (i.e., nodal solution) even for extremely severe meshdistortions 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