p-Multigrid Method for Fekete-Gauss Spectral Element Approximations of Elliptic Problems  

作　　者：Richard Pasquetti Francesca Rapetti 

机构地区：[1]Laboratoire J.A.Dieudonne,UMR 6621 CNRS,Universite de Nice Sophia-Antipolis,Parc Valrose,06108 Nice cedex 02,France

出　　处：《Communications in Computational Physics》2009年第2期667-682,共16页计算物理通讯（英文）

摘　　要：An efficient p-multigrid method is developed to solve the algebraic systems which result from the approximation of elliptic problems with the so-called FeketeGauss 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.

关 键 词：Spectral elements Fekete points multigrid methods 

分 类 号：O17[理学—数学]