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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 I.1
Error Estimation with Post Processed FE-Solutions N-E. Wiberg and F. Abdulwahab
Department of Structural Mechanics, Chalmers University of Technology, Goteborg, Sweden N-E. Wiberg, F. Abdulwahab, "Error Estimation with Post Processed FE-Solutions", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 1-22, 1994. doi:10.4203/ccp.21.1.1
Abstract
The Superconvergent Patch Recovery (SPR) technique
and its enhancements has shown to be an accurate and efficient
method to obtain an improved solution. It gives a
more accurate solution, used as such, and it can be utilized
for an error estimation of the finite element solution. The
improved solution has often at least one order higher convergence
rate and is much more accurate than the finite element
solution. The paper gives a review of different aspects
and enhancements of SPR-technique and proposes an
additional global iteration procedure, which gives a still
higher accuracy. These changes make it possible to give an
error estimation of the improved solution. The different error
estimations are used in an adaptive process, showing
that improved error estimation gives improved adaptivity
performance.
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