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Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions

  • Published:2018-02 Issue:3 Volume:75 Page:918-932
  • ISSN:0898-1221
  • Container-title:Computers & Mathematics with Applications
  • language:en
  • Short-container-title:Computers & Mathematics with Applications

Author:

Ern Alexandre,Guermond Jean-Luc

Funder

National Science Foundation

Air Force Office of Scientific Research, USAF

Army Research Office

Institut Henri Poincaré

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference34 articles.

1. A finite element method for approximating the time-harmonic Maxwell equations;Monk;Numer. Math.,1992

2. Finite element exterior calculus, homological techniques, and applications;Arnold;Acta Numer.,2006

3. On a discrete compactness property for the Nédélec finite elements;Kikuchi;J. Fac. Sci. Univ. Tokyo IA,1989

4. Discrete compactness and the approximation of Maxwell’s equations in R3;Monk;Math. Comp.,2001

5. On the convergence of Galerkin finite element approximations of electromagnetic eigenproblems;Caorsi;SIAM J. Numer. Anal.,2000

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