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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 21
Edited by: M. Papadrakakis and B.H.V. Topping
Paper II.4

Adaptive Techniques for Elliptic Problems

G. Bugeda and E. Oñate

Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos, Universitat Politècnica de Catalunya, Barcelona, Spain

Full Bibliographic Reference for this paper
, "Adaptive Techniques for Elliptic Problems", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 77-84, 1994. doi:10.4203/ccp.21.2.4
In this paper the concepts of solution error and optimal mesh in adaptive finite element analysis are revisited. It is shown that the correct evaluation of the convergence rate of the error norms involved in the error measure and the optimal mesh criteria chosen are essential to avoid oscillations in the refinement process. Two mesh optimality criteria based on: a)the equal distribution of global error, and b)the specific error over the elements are studied and compared in detail through some examples of application.

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