The finite element solutions for moving conductor eddy current problems based on triangular elements

This paper describes an examination of the performance of the upwinding formulations for triangular elements in comparison with that based on quadrilateral elements. A novel form of weighting function for triangular elements based on the elimination of the factors which could cause numerical instability, is then introduced. The correct expressions for the upwinding method have been re-derived and results with acceptable accuracy for a typical 2D example problem are obtained, although they are not as good as for quadrilateral elements. Improvements in terms of accuracy are found for the proposed new method over the upwinding. In addition to improved accuracy, the avoidance of calculating the troublesome vector damping factors in the case of upwinding also makes the implementation of this new method easier and provides a potential alternative to upwinding.<
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