An interior penalty method for a two dimensional curl-curl and grad-div problem

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

An interior penalty method for a two dimensional curl-curl and grad-div problem

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

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

Abstract

We study an interior penalty method for a two dimensional curl-curl and grad-div problem that appears in electromagnetics and in fluid-structure interactions. The method uses discontinuous P1 vector fields on graded meshes and satisfies optimal convergence rates (up to an arbitrarily small parameter) in both the energy norm and the L2 norm. These theoretical results are corroborated by results of numerical experiments. Mathematical Soc. 2009.

Original language	English
Journal	ANZIAM Journal
Volume	50
Issue number	SUPPL.
Publication status	Published - 1 Dec 2008
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

Cite this

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title = "An interior penalty method for a two dimensional curl-curl and grad-div problem",

abstract = "We study an interior penalty method for a two dimensional curl-curl and grad-div problem that appears in electromagnetics and in fluid-structure interactions. The method uses discontinuous P1 vector fields on graded meshes and satisfies optimal convergence rates (up to an arbitrarily small parameter) in both the energy norm and the L2 norm. These theoretical results are corroborated by results of numerical experiments. Mathematical Soc. 2009.",

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AU - Brenner, S. C.

AU - Cui, Jintao

AU - Sung, L. Y.

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Y1 - 2008/12/1

N2 - We study an interior penalty method for a two dimensional curl-curl and grad-div problem that appears in electromagnetics and in fluid-structure interactions. The method uses discontinuous P1 vector fields on graded meshes and satisfies optimal convergence rates (up to an arbitrarily small parameter) in both the energy norm and the L2 norm. These theoretical results are corroborated by results of numerical experiments. Mathematical Soc. 2009.

AB - We study an interior penalty method for a two dimensional curl-curl and grad-div problem that appears in electromagnetics and in fluid-structure interactions. The method uses discontinuous P1 vector fields on graded meshes and satisfies optimal convergence rates (up to an arbitrarily small parameter) in both the energy norm and the L2 norm. These theoretical results are corroborated by results of numerical experiments. Mathematical Soc. 2009.

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M3 - Journal article

SN - 1446-1811

VL - 50

JO - ANZIAM Journal

JF - ANZIAM Journal

IS - SUPPL.

ER -

An interior penalty method for a two dimensional curl-curl and grad-div problem

Abstract

ASJC Scopus subject areas

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