Mahmood, R. and Jimack, P.K. (2004) Locally optimal unstructured finite element meshes in 3 dimensions. Computers & Structures, 82 (23-26). pp. 2105-2116. ISSN 0045-7949
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.
|Copyright, Publisher and Additional Information:||© 2004 Civil-Comp Ltd. and Elsevier Ltd. This is an author produced version of a paper published in 'Computers & Structures".|
|Keywords:||Finite elements, Variational problems, Mesh optimization, Tetrahedral elements, Node movement, Edge swapping, Node insertion|
|Institution:||The University of Leeds|
|Academic Units:||The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)|
|Depositing User:||Repository Assistant|
|Date Deposited:||13 Dec 2006|
|Last Modified:||17 Sep 2016 17:20|