This paper on "Superconvergent Patch Recovery - A Key to Quality Assessed FE Solutions" was presented at the 5th International Conference on Reliability of Finite Element Methods for Engineering Applications - 10-12 May 1995, Amsterdam, The Netherlands.

Abstract

The Superconvergent Patch Recovery (SPR) - method introduced by Zienkiewicz and Zhu [1] was the breakthrough of an accurate and cheap postprocessing method to estimate the errors in the FE-solution. Though good, the method was improved by the author by fulfillment of equilibrium equations and boundary conditions for stresses and displacements. Similar SPR- techniques for strains and displacement fields were also presented. Other improvements/alternatives are to use element patches instead of node patches, and to calculate clement stresses by a weighted nodal patch procedure. These further improvements can be used to estimate the error of the improved SPR-solution. The paper will discuss the different aspects of the SPR technique as a key to quality assessed FE-solutions for static and dynamic problems.