Gräser, C. and Kornhuber, R. (2007) On preconditioned Uzawa-type iterations for a saddle point problem with inequality constraints. In: Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, 55 . Springer Berlin Heidelberg, pp. 91-102. ISBN 978-3-540-34468-1
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Official URL: http://dx.doi.org/10.1007/978-3-540-34469-8_8
Abstract
We consider preconditioned Uzawa iterations for a saddle point problem with inequality constraints as arising from an implicit time discretization of the Cahn-Hilliard equation with an obstacle potential. We present a new class of preconditioners based on linear Schur complements associated with successive approximations of the coincidence set. In numerical experiments, we found superlinear convergence and finite termination.
| Item Type: | Book Section |
|---|---|
| Subjects: | Mathematical and Computer Sciences > Mathematics > Numerical Analysis |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
| ID Code: | 1813 |
| Deposited By: | Ekaterina Engel |
| Deposited On: | 19 Feb 2016 09:17 |
| Last Modified: | 03 Mar 2017 14:42 |
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