Volume 43, Number 2, March-April 2009
|Page(s)||209 - 238|
|Published online||05 December 2008|
A semi-smooth Newton method for solving elliptic equations with gradient constraints
Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz,
Germany. email@example.com; http://www.tu-chemnitz.de/ griesse
2 Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria. firstname.lastname@example.org; http://www.kfunigraz.ac.at/imawww/kunisch
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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