Convergence of a short-step primal-dual algorithm based on the Gauss-Newton direction.
Kruk, Serge, Wolkowicz, Henry (2003)
Journal of Applied Mathematics
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Displaying similar documents to “Path-following the static contact problem with Coulomb friction”
Convergence of a short-step primal-dual algorithm based on the Gauss-Newton direction.
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
Karl Kunisch, Georg Stadler (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The 2D-Signorini contact problem with Tresca and Coulomb friction is discussed in infinite-dimensional Hilbert spaces. First, the problem with given friction (Tresca friction) is considered. It leads to a constraint non-differentiable minimization problem. By means of the Fenchel duality theorem this problem can be transformed into a constrained minimization involving a smooth functional. A regularization technique for the dual problem motivated by augmented Lagrangians allows...
An inexact Newton hybrid path-following algorithm for nonlinear programming.
Argáez, Miguel, Hernández, Jaime jun., Velázquez, Leticia (2007)
Revista Colombiana de Matemáticas
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A semi-smooth Newton method for solving elliptic equations with gradient constraints
Roland Griesse, Karl Kunisch (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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.