Corrected shape functions for six-node triangular element for heat conduction

摘要

In this paper, we derived the corrected shape functions for 6-node triangular element using the concept proposed in (Celia & Gray 1984). These shape functions were implemented in the two-dimensional 6-node triangular element for heat conduction as a replacement of the isoparametric ones. The numerical tests indicate that, for distorted meshes, the new element is more accurate than the standard element. Comparisons of the accuracy of a range of triangular and quadrilateral elements also are provided.