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.
@article{M2AN_2009__43_2_209_0,
author = {Griesse, Roland and Kunisch, Karl},
title = {A semi-smooth Newton method for solving elliptic equations with gradient constraints},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {43},
year = {2009},
pages = {209-238},
doi = {10.1051/m2an:2008049},
mrnumber = {2512495},
zbl = {1161.65338},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2009__43_2_209_0}
}
Griesse, Roland; Kunisch, Karl. A semi-smooth Newton method for solving elliptic equations with gradient constraints. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) pp. 209-238. doi : 10.1051/m2an:2008049. http://gdmltest.u-ga.fr/item/M2AN_2009__43_2_209_0/
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