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

- Volume: 43, Issue: 2, page 209-238
- ISSN: 0764-583X

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topGriesse, Roland, and 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 43.2 (2009): 209-238. <http://eudml.org/doc/246022>.

@article{Griesse2009,

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.},

author = {Griesse, Roland, Kunisch, Karl},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {gradient constraints; active set strategy; regularization; semi-smooth Newton method; primal-dual active set method; elliptic equations; numerical examples},

language = {eng},

number = {2},

pages = {209-238},

publisher = {EDP-Sciences},

title = {A semi-smooth Newton method for solving elliptic equations with gradient constraints},

url = {http://eudml.org/doc/246022},

volume = {43},

year = {2009},

}

TY - JOUR

AU - Griesse, Roland

AU - Kunisch, Karl

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2009

PB - EDP-Sciences

VL - 43

IS - 2

SP - 209

EP - 238

AB - 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.

LA - eng

KW - gradient constraints; active set strategy; regularization; semi-smooth Newton method; primal-dual active set method; elliptic equations; numerical examples

UR - http://eudml.org/doc/246022

ER -

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