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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 21
Edited by: M. Papadrakakis and B.H.V. Topping
Paper IV.1

An Optimal Finite Element Mesh for Linear Elastic Structural Analysis

P.K. Jimack

School of Computer Studies, University of Leeds, Leeds, United Kingdom

Full Bibliographic Reference for this paper
P.K. Jimack, "An Optimal Finite Element Mesh for Linear Elastic Structural Analysis", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 157-167, 1994. doi:10.4203/ccp.21.4.1
This paper investigates the adaptive solution of linear elastic structural analysis problems through re-positioning of the finite element nodal points (r-refinement) using an approach known as the Moving Finite Element method. After a brief introduction to the Moving Finite Element method it is proved that this technique can yield optimal finite element solutions on optimal meshes in the energy norm associated with this problem. Following this there is a discussion of the practical applications of this result in the development of adaptive software, where it is proposed that a combination of r-refinement followed by local h-refinement is likely to be most beneficial. A small number of illustrative examples are included.

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