Kornhuber, R. (2001) Nonlinear multigrid techniques. In: Theory and Numerics of Differential Equations. Durham 2000. Universitext . Springer Berlin Heidelberg, pp. 179-229. ISBN 978-3-642-07533-9
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Official URL: http://dx.doi.org/10.1007/978-3-662-04354-7
Abstract
In these introductory notes, we focus on smooth and piecewise smooth semilinear elliptic partial differential equations in the framework of convex minimization problems. We present and analyze old and new nonlinear multigrid techniques. Related procedures are often used without proof in practical applications. After a brief motivation of linear multigrid, we principally concentrate on Newton multigrid for smooth problems and on monotone multigrid for the piecewise smooth case.
| Item Type: | Book Section |
|---|---|
| Subjects: | Mathematical and Computer Sciences > Mathematics > Numerical Analysis |
| Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |
| ID Code: | 1845 |
| Deposited By: | Ekaterina Engel |
| Deposited On: | 15 Apr 2016 11:26 |
| Last Modified: | 15 Apr 2016 11:33 |
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