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M. Papadrakakis, G. Babilis and G.P. Braouzi

Institute of Structural Analysis & Aseismic Research, National Technical University of Athens, Athens, Greece

doi:10.4203/ccp.21.2.8

M. Papadrakakis, G. Babilis, G.P. Braouzi, "Efficiency of Refinement Procedures for the p-Version of the Adaptive Finite Element Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 111-124, 1994. doi:10.4203/ccp.21.2.8

Abstract

The paper presents an efficiency study of different refinement procedures for the p-version of the adaptive finite element method in two-dimensional elasticity problems. The refinement strategy, based on the estimated error in energy norm, attempts an optimal distribution of the nodeless degrees of freedom associated with the basic approximation parameter of the order p of the hierarchic shape functions. This procedure is combined with appropriate matrix handling techniques and equation solvers in order to achieve a solution of a given accuracy with the minimum computational resources in terms of computing time and storage. To this extend convergence studies are performed with constant and variable adaptivity indices, with error estimators based on global and elemental approaches and with domain decomposition matrix handling techniques and the preconditioned conjugate gradient solver.

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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.8 Efficiency of Refinement Procedures for the p-Version of the Adaptive Finite Element Method M. Papadrakakis, G. Babilis and G.P. Braouzi Institute of Structural Analysis & Aseismic Research, National Technical University of Athens, Athens, Greece doi:10.4203/ccp.21.2.8 purchase the full-text of this paper Full Bibliographic Reference for this paper M. Papadrakakis, G. Babilis, G.P. Braouzi, "Efficiency of Refinement Procedures for the p-Version of the Adaptive Finite Element Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 111-124, 1994. doi:10.4203/ccp.21.2.8 Abstract The paper presents an efficiency study of different refinement procedures for the p-version of the adaptive finite element method in two-dimensional elasticity problems. The refinement strategy, based on the estimated error in energy norm, attempts an optimal distribution of the nodeless degrees of freedom associated with the basic approximation parameter of the order p of the hierarchic shape functions. This procedure is combined with appropriate matrix handling techniques and equation solvers in order to achieve a solution of a given accuracy with the minimum computational resources in terms of computing time and storage. To this extend convergence studies are performed with constant and variable adaptivity indices, with error estimators based on global and elemental approaches and with domain decomposition matrix handling techniques and the preconditioned conjugate gradient solver. 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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