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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: M. Papadrakakis, B.H.V. Topping
Chapter 8

Mesh Optimality Criteria and Remeshing Strategies for Singular Point Problems

O.J.B. Almeida Pereira+ and G. Bugeda*

+Departamento de Engenharia Civil, Instituto Superior Tecnico, Lisbon, Portugal
*International Centre for Numerical Methods in Engineering, Universitat Politecnica de Catalunya, Barcelona, Spain

Full Bibliographic Reference for this chapter
O.J.B. Almeida Pereira, G. Bugeda, "Mesh Optimality Criteria and Remeshing Strategies for Singular Point Problems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Innovative Computational Methods for Structural Mechanics", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 8, pp 149-162, 1999. doi:10.4203/csets.1.8
A revision of the existing h-adaptive strategies based upon the equidistribution of the energy of the error is made. Two h-adaptive strategies for singular problems are proposed, one based upon the equidistribution of the error and the other upon a non-uniform distribution of the error. The behaviour of the proposed strategies and that of the one used by Zienkiewicz and Zhu are studied for singular problems in plane elasticity, using three-noded displacement elements.

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