A semi-smooth Newton method for solving elliptic equations with gradient constraints
ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 2, pp. 209-238.

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.

DOI : 10.1051/m2an:2008049
Classification : 35J70, 49M15, 65K05, 90C33
Mots-clés : gradient constraints, active set strategy, regularization, semi-smooth Newton method, primal-dual active set method 
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     author = {Griesse, Roland and Kunisch, Karl},
     title = {A semi-smooth {Newton} method for solving elliptic equations with gradient constraints},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {209--238},
     publisher = {EDP-Sciences},
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     zbl = {1161.65338},
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     url = {http://archive.numdam.org/articles/10.1051/m2an:2008049/}
}
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Griesse, Roland; Kunisch, Karl. A semi-smooth Newton method for solving elliptic equations with gradient constraints. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 2, pp. 209-238. doi : 10.1051/m2an:2008049. http://archive.numdam.org/articles/10.1051/m2an:2008049/

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