Geodesic
A semi-smooth Newton method for solving elliptic equations with gradient constraints
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 2, pp. 209-238

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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
Keywords: 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: Mathematical Modelling and Numerical Analysis },
     pages = {209--238},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {2},
     year = {2009},
     doi = {10.1051/m2an:2008049},
     mrnumber = {2512495},
     zbl = {1161.65338},
     language = {en},
     url = {http://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 2, pp. 209-238. doi: 10.1051/m2an:2008049

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