Higher-order discontinuous Galerkin method for pyramidal elements using orthogonal bases

被引：16

作者：

Bergot, Morgane ^{[2
]}

Durufle, Marc ^{[1
]}

机构：

[1] Univ Bordeaux 1, Inst Math Bordeaux, Bordeaux, France

[2] INRIA Rocquencourt, Projet POems, Le Chesnay, France

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 29卷 / 01期

关键词：

conformal mesh; discontinuous Galerkin method; higher-order finite element; hybrid mesh; orthogonal basis functions; pyramidal element; QUADRATURE-RULES; EQUATIONS;

D O I：

10.1002/num.21703

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study finite elements of arbitrarily high-order defined on pyramids for discontinuous Galerkin methods. We propose a new family of high-order pyramidal finite elements using orthogonal basis functions which can be used in hybrid meshes including hexahedra, tetrahedra, wedges, and pyramids. We perform a comparison between these orthogonal functions and nodal functions for affine and non-affine elements. Different strategies for the inversion of the mass matrix are also considered and discussed. Numerical experiments are conducted for the three dimensional Maxwell's equations. (C) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013

引用

页码：144 / 169

页数：26

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