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Semismooth Newton method for gradient constrained minimization problem.

Authors :
Anyyeva, Serbiniyaz
Kunisch, Karl
Source :
AIP Conference Proceedings. 8/10/2012, Vol. 1470 Issue 1, p236-239. 4p. 1 Graph.
Publication Year :
2012

Abstract

In this paper we treat a gradient constrained minimization problem, particular case of which is the elasto-plastic torsion problem. In order to get the numerical approximation to the solution we have developed an algorithm in an infinite dimensional space framework using the concept of the generalized (Newton) differentiation. Regularization was done in order to approximate the problem with the unconstrained minimization problem and to make the pointwise maximum function Newton differentiable. Using semismooth Newton method, continuation method was developed in function space. For the numerical implementation the variational equations at Newton steps are discretized using finite elements method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0094243X
Volume :
1470
Issue :
1
Database :
Academic Search Index
Journal :
AIP Conference Proceedings
Publication Type :
Conference
Accession number :
78721140
Full Text :
https://doi.org/10.1063/1.4747684