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ICCS
2007
Springer

Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems

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Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems
Abstract. Hierarchical (H)-matrices approximate full or sparse matrices using a hierarchical data sparse format. The corresponding H-matrix arithmetic reduces the time complexity of the approximate H-matrix operators to almost optimal while maintains certain accuracy. In this paper, we represent a scheme to solve the saddle point system arising from the control of parabolic partial differential equations by using H-matrix LUfactors as preconditioners in iterative methods. The experiment shows that the H-matrix preconditioners are effective and speed up the convergence of iterative methods.
Suely Oliveira, Fang Yang
Added 08 Jun 2010
Updated 08 Jun 2010
Type Conference
Year 2007
Where ICCS
Authors Suely Oliveira, Fang Yang
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