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http://dx.doi.org/10.5666/KMJ.2012.52.4.359

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)
Publication Information
Kyungpook Mathematical Journal / v.52, no.4, 2012 , pp. 359-373 More about this Journal
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
LU factorization; coupled stokes equations; optimal control; spectral element method;
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