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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:232

Article

Bergot, Morgane²  Durufle, Marc¹ 

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

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

关键词: Edge elements;    High-order finite element;    Pyramids;    Maxwell's equations;   

DOI  :  10.1016/j.jcp.2012.08.005

来源: Elsevier

【 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.

【 授权许可】

Free