Block LU factorization for the coupled stokes equations by spectral element discretization

Xiangfan Piao; Philsu Kim; Sang Dong Kim

doi:10.5666/KMJ.2012.52.4.359

Block LU factorization for the coupled stokes equations by spectral element discretization

Xiangfan Piao, Philsu Kim, Sang Dong Kim

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The block LU factorization is used to solve the coupled Stokes equations arisen from an optimal control problem subject to Stokes equations. The convergence of the spectral element solution is proved. Some numerical evidences are provided for the model coupled Stokes equations. Moreover, as an application, this algorithm is performed for an optimal control problem.

Original language	English
Pages (from-to)	359-373
Number of pages	15
Journal	Kyungpook Mathematical Journal
Volume	52
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2012.52.4.359
State	Published - Dec 2012

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title = "Block LU factorization for the coupled stokes equations by spectral element discretization",

abstract = "The block LU factorization is used to solve the coupled Stokes equations arisen from an optimal control problem subject to Stokes equations. The convergence of the spectral element solution is proved. Some numerical evidences are provided for the model coupled Stokes equations. Moreover, as an application, this algorithm is performed for an optimal control problem.",

author = "Xiangfan Piao and Philsu Kim and Kim, {Sang Dong}",

year = "2012",

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doi = "10.5666/KMJ.2012.52.4.359",

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AU - Piao, Xiangfan

AU - Kim, Philsu

AU - Kim, Sang Dong

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N2 - The block LU factorization is used to solve the coupled Stokes equations arisen from an optimal control problem subject to Stokes equations. The convergence of the spectral element solution is proved. Some numerical evidences are provided for the model coupled Stokes equations. Moreover, as an application, this algorithm is performed for an optimal control problem.

AB - The block LU factorization is used to solve the coupled Stokes equations arisen from an optimal control problem subject to Stokes equations. The convergence of the spectral element solution is proved. Some numerical evidences are provided for the model coupled Stokes equations. Moreover, as an application, this algorithm is performed for an optimal control problem.

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DO - 10.5666/KMJ.2012.52.4.359

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SP - 359

EP - 373

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 4

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Block LU factorization for the coupled stokes equations by spectral element discretization

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