Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Block LU Factorization for the Coupled Stokes Equations by Spectral Element Discretization

  • Piao, Xiangfan (Department of Mathematics, Kyungpook National University) ;
  • Kim, Philsu (Department of Mathematics, Kyungpook National University) ;
  • Kim, Sang Dong (Department of Mathematics, Kyungpook National University)
  • Received : 2012.10.04
  • Accepted : 2012.10.26
  • Published : 2012.12.23
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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.

Keywords

Acknowledgement

Supported by : KRF

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