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 Pollution Adaptive Mesh Generation Algorithm in r-h Version of the Finite Element Method
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
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In this paper, we propose a modified pollution error in r-h methods using singular elements. The algorithm based on the element pollution error indicator concentrate on boundary nodes. The singular shape function is used where an element includes a singular point. The conventional automatic mesh generation method with this special shape function is shown to be very effective in this algorithm. The boundary node relocation phase and node insertion method are used alternatively as before. It is shown that the suggested r-h version algorithm combined with singular elements converges more quickly than the conventional one.