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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

Full Bibliographic Reference for this paper
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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