A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem

S. C. Brenner; Jintao Cui; F. Li; L. Y. Sung

doi:10.1007/s00211-008-0149-7

A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem

S. C. Brenner, Jintao Cui, F. Li, L. Y. Sung

Research output: Journal article publication › Journal article › Academic research › peer-review

39 Citations (Scopus)

Abstract

A numerical method for a two-dimensional curl-curl and grad-div problem is studied in this paper. It is based on a discretization using weakly continuous P1 vector fields and includes two consistency terms involving the jumps of the vector fields across element boundaries. Optimal convergence rates (up to an arbitrary positive ε) in both the energy norm and the L 2 norm are established on graded meshes. The theoretical results are confirmed by numerical experiments.

Original language	English
Pages (from-to)	509-533
Number of pages	25
Journal	Numerische Mathematik
Volume	109
Issue number	4
DOIs	https://doi.org/10.1007/s00211-008-0149-7
Publication status	Published - 1 Jun 2008
Externally published	Yes

Keywords

Curl-curl and grad-div problem
Maxwell equations
Nonconforming finite element methods

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1007/s00211-008-0149-7

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A nonconforming finite element method for a two-dimensional curl-curl and grad-div problem

Abstract

Keywords

ASJC Scopus subject areas

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