Comparison of some isoparametric mappings for curved triangular spectral elements

Description

Using the spectral element method (SEM), or more generally hp-finite elements, it is possible to solve with high accuracy various kinds of problems governed by partial differential equations (PDEs). However, as soon as the physical domain is not polygonal the accuracy quickly deteriorates if curved elements are not implemented. For the Fekete-Gauss TSEM (T, for triangle), i.e. that makes use of Fekete points for interpolation and Gauss points for quadrature, the importance of a good choice of the bending procedure is pointed out by comparing different isoparametric mappings for the Poisson and Grad-Shafranov PDEs.

Abstract

International audience

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