Discrete compactness for p and hp 2D edge finite elements

被引：12

作者：

Boffi, D

Demkowicz, L

Costabel, M

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

[2] Univ Texas, Texas Inst Compuat & Appl Math, Austin, TX 78712 USA

[3] IRMAR, Inst Math, F-35042 Rennes, France

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 11期

关键词：

Maxwell's equations; hp finite elements; discrete compactness;

D O I：

10.1142/S0218202503003070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the hp edge finite element approximation of the Maxwell cavity eigenproblem. We address the main arguments for the proof of the discrete compactness property. The proof is based on a conjectured L-2 stability estimate for the involved polynomial spaces which has been verified numerically for p less than or equal to 15 and illustrated with the corresponding one dimensional model problem.

引用

页码：1673 / 1687

页数：15

共 17 条

[1]

Anselone P. M., 1971, Collectively compact operator approximation theory and applications to integral equations

[2] Computational models of electromagnetic resonators: Analysis of edge element approximation [J].