The superconvergent patch recovery (SPR) and adaptive finite element refinement
Computer Methods in Applied Mechanics and Engineering - Special issue on reliability in computational mechanics
Finite Elements in Analysis and Design
A Study on the Pollution Error in r-h Methods Using Singular Shape Functions
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
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In this paper, we propose a simplified pollution adaptive mesh generation algorithm, which concentrate on the boundary node based on the element pollution error indicator. The automatic mesh generation method is followed by either a node-relocation or a node-insertion method. The boundary node relocation phase is introduced to reduce pollution error estimates without increasing the boundary nodes. The node insertion phase greatly improves the error and the factor with the cost of increasing the node numbers. It is shown that the suggested r-h version algorithm converges more quickly than the conventional one.