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A semi-smooth Newton method for solving elliptic equations with gradient constraints

Published online by Cambridge University Press:  05 December 2008

Roland Griesse  and
Karl Kunisch
Roland Griesse
Affiliation:
Chemnitz University of Technology, Faculty of Mathematics, 09107 Chemnitz, Germany. [email protected]; http://www.tu-chemnitz.de/ griesse
Karl Kunisch
Affiliation:
Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria. [email protected]; http://www.kfunigraz.ac.at/imawww/kunisch
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Abstract

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.

Keywords

Gradient constraintsactive set strategyregularizationsemi-smooth Newton methodprimal-dual active set method.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 43 , Issue 2 , March 2009 , pp. 209 - 238
Copyright
© EDP Sciences, SMAI, 2009

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