Locally optimal unstructured finite element meshes in three dimensions

Authors:
R. Mahmood;P. K. Jimack
Affiliations:
School of Computing, University of Leeds, United Kingdom;School of Computing, University of Leeds, United Kingdom
Venue:
ICECT'03 Proceedings of the third international conference on Engineering computational technology
Year:
2002

Citing 8
Cited 0

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Developments in engineering computational technology

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Abstract

This paper investigates the adaptive finite element solution of a general class of variational problems in three dimensions using a combination of node movement, edge swapping, face swapping and node insertion. The adaptive strategy proposed is a generalization of previous work in two dimensions and is based upon the construction of a hierarchy of locally optimal meshes. Results presented, both for a single equation and a system of coupled equations, suggest that this approach is able to produce better meshes of tetrahedra than those obtained by more conventional adaptive strategies and in a relatively efficient manner.