Book chapter
Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems
Computational Science – ICCS 2007, pp.221-228
Lecture Notes in Computer Science, Springer Berlin Heidelberg
2007
DOI: 10.1007/978-3-540-72584-8_29
Abstract
Hierarchical (\documentclass[12pt]{minimal}
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\begin{document}$\mathcal{H}$\end{document})-matrices approximate full or sparse matrices using a hierarchical data sparse format. The corresponding \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{H}$\end{document}-matrix arithmetic reduces the time complexity of the approximate \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{H}$\end{document}-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 \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{H}$\end{document}-matrix LU-factors as preconditioners in iterative methods. The experiment shows that the \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{H}$\end{document}-matrix preconditioners are effective and speed up the convergence of iterative methods.
Details
- Title: Subtitle
- Hierarchical-Matrix Preconditioners for Parabolic Optimal Control Problems
- Creators
- Suely Oliveira - University of IowaFang Yang - University of Iowa
- Resource Type
- Book chapter
- Publication Details
- Computational Science – ICCS 2007, pp.221-228
- Series
- Lecture Notes in Computer Science
- DOI
- 10.1007/978-3-540-72584-8_29
- eISSN
- 1611-3349
- ISSN
- 0302-9743
- Publisher
- Springer Berlin Heidelberg; Berlin, Heidelberg
- Language
- English
- Date published
- 2007
- Academic Unit
- Computer Science; Mathematics
- Record Identifier
- 9984259482102771
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