| Issue |
ESAIM: M2AN
Volume 43, Number 2, March-April 2009
|
|
|---|---|---|
| Page(s) | 209 - 238 | |
| DOI | https://doi.org/10.1051/m2an:2008049 | |
| Published online | 05 December 2008 | |
A semi-smooth Newton method for solving elliptic equations with gradient constraints
1
Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz,
Germany. roland.griesse@mathematik.tu-chemnitz.de; http://www.tu-chemnitz.de/ griesse
2
Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria.
karl.kunisch@uni-graz.at; http://www.kfunigraz.ac.at/imawww/kunisch
Received:
13
November
2007
Semi-smooth Newton methods for elliptic equations with gradient constraints are investigated. The one- and multi-dimensional cases are treated separately. Numerical examples illustrate the approach and as well as structural features of the solution.
Mathematics Subject Classification: 35J70 / 49M15 / 65K05 / 90C33
Key words: Gradient constraints / active set strategy / regularization / semi-smooth Newton method / primal-dual active set method.
© EDP Sciences, SMAI, 2009
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