High-order optimal edge elements for pyramids, prisms and hexahedra

被引：27

作者：

Bergot, Morgane ^{[2
]}

Durufle, Marc ^{[1
]}

机构：

[1] INRIA Bordeaux Sud Ouest, BACCHUS Project Team, Bordeaux, France

[2] INRIA Nancy Grand Est, CALVI Project Team, Strasbourg, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 232卷 / 01期

关键词：

Edge elements; High-order finite element; Pyramids; Maxwell's equations; INTERPOLATORY VECTOR BASES; H(DIV);

D O I：

10.1016/j.jcp.2012.08.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Edge elements are a popular method to solve Maxwell's equations especially in time-harmonic domain. However, when non-affine elements are considered, elements of the Nedelec's first family [19] are not providing an optimal rate of the convergence of the numerical solution toward the solution of the exact problem in H(curl)-norm. We propose new finite element spaces for pyramids, prisms, and hexahedra in order to recover the optimal convergence. In the particular case of pyramids, a comparison with other existing elements found in the literature is performed. Numerical results show the good behavior of these new finite elements. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：189 / 213

页数：25

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