An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called Fekete-Gauss Spectral Element Method, which makes use of the Fekete points of the triangle as interpolation points and of the Gauss points as quadrature points. A multigrid strategy is defined by comparison of different prolongation/restriction operators and coarse grid algebraic systems. The efficiency and robustness of the approach, with respect to the type of boundary condition and to the structured/unstructured nature of the mesh, are highlighted through numerical examples.
}, issn = {1991-7120}, doi = {https://doi.org/2009-CiCP-7756}, url = {https://global-sci.com/article/81108/empem-multigrid-method-for-fekete-gauss-spectral-element-approximations-of-elliptic-problems} }