Remarks on the discretization of some noncoercive operator with applications to heterogeneous maxwell equations

被引：54

作者：

Buffa, A ^{[1
]}

机构：

[1] CNR, MATI, Sede Pavia, I-27100 Pavia, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2005年 / 43卷 / 01期

关键词：

finite elements; boundary elements; Maxwell equations;

D O I：

10.1137/S003614290342385X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We aim to provide a framework for the analysis of convergence for the Galerkin approximation for a class of noncoercive problems. We provide a sufficient condition on the finite element space for the convergence and optimality of the Galerkin scheme. This theory is then applied to the study of the well-posedness and approximability of two problems in electromagnetism.

引用

页码：1 / 18

页数：18

共 43 条

[1]

Amrouche C, 1998, MATH METHOD APPL SCI, V21, P823, DOI 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO

[2]

2-B

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