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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 21
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

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
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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