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G. Bugeda and E. Oñate

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

doi:10.4203/ccp.21.2.4

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, "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

Abstract

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 21 ADVANCES IN POST AND PREPROCESSING FOR FINITE ELEMENT TECHNOLOGY 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 doi:10.4203/ccp.21.2.4 purchase the full-text of this paper 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 Abstract 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £60 +P&P)
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