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Block LU Factorization for the Coupled Stokes Equations by Spectral Element Discretization

  • Piao, Xiangfan;Kim, Philsu;Kim, Sang Dong
    • Kyungpook Mathematical Journal
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    • 제52권4호
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    • pp.359-373
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    • 2012
  • 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.