Multigrid methods for a quad-curl problem based on [Formula presented] interior penalty method

Zhengjia Sun; Jintao Cui; Fuzheng Gao; Chao Wang

doi:10.1016/j.camwa.2018.07.048

Multigrid methods for a quad-curl problem based on [Formula presented] interior penalty method

Zhengjia Sun, Jintao Cui, Fuzheng Gao, Chao Wang

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

12 Citations (Scopus)

Abstract

In this paper we study the multigrid algorithm for a quad-curl problem based on [Formula presented] interior penalty method on bounded polygonal domains. It is shown that the contraction numbers of [Formula presented]-cycle multigrid algorithm for the [Formula presented] interior penalty method converge uniformly with rate of [Formula presented], where [Formula presented] is the number of pre-smoothing (and post-smoothing) steps, [Formula presented] is the index of elliptic regularity. The performance of the multigrid fast solver is illustrated by numerical results.

Original language	English
Pages (from-to)	2192-2211
Number of pages	20
Journal	Computers and Mathematics with Applications
Volume	76
Issue number	9
DOIs	https://doi.org/10.1016/j.camwa.2018.07.048
Publication status	Published - 1 Nov 2018

Keywords

Multigrid methods
Quad-curl problem
[Formula presented] interior penalty method

ASJC Scopus subject areas

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2018.07.048

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abstract = "In this paper we study the multigrid algorithm for a quad-curl problem based on [Formula presented] interior penalty method on bounded polygonal domains. It is shown that the contraction numbers of [Formula presented]-cycle multigrid algorithm for the [Formula presented] interior penalty method converge uniformly with rate of [Formula presented], where [Formula presented] is the number of pre-smoothing (and post-smoothing) steps, [Formula presented] is the index of elliptic regularity. The performance of the multigrid fast solver is illustrated by numerical results.",

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AU - Sun, Zhengjia

AU - Cui, Jintao

AU - Gao, Fuzheng

AU - Wang, Chao

PY - 2018/11/1

Y1 - 2018/11/1

N2 - In this paper we study the multigrid algorithm for a quad-curl problem based on [Formula presented] interior penalty method on bounded polygonal domains. It is shown that the contraction numbers of [Formula presented]-cycle multigrid algorithm for the [Formula presented] interior penalty method converge uniformly with rate of [Formula presented], where [Formula presented] is the number of pre-smoothing (and post-smoothing) steps, [Formula presented] is the index of elliptic regularity. The performance of the multigrid fast solver is illustrated by numerical results.

AB - In this paper we study the multigrid algorithm for a quad-curl problem based on [Formula presented] interior penalty method on bounded polygonal domains. It is shown that the contraction numbers of [Formula presented]-cycle multigrid algorithm for the [Formula presented] interior penalty method converge uniformly with rate of [Formula presented], where [Formula presented] is the number of pre-smoothing (and post-smoothing) steps, [Formula presented] is the index of elliptic regularity. The performance of the multigrid fast solver is illustrated by numerical results.

KW - Multigrid methods

KW - Quad-curl problem

KW - [Formula presented] interior penalty method

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EP - 2211

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 9

ER -

Multigrid methods for a quad-curl problem based on [Formula presented] interior penalty method

Abstract

Keywords

ASJC Scopus subject areas

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