Back to Search
Start Over
OBSTACLE PROBLEMS WITH COHESION: A HEMIVARIATIONAL INEQUALITY APPROACH AND ITS EFFICIENT NUMERICAL SOLUTION.
- Source :
-
SIAM Journal on Optimization . 2011, Vol. 21 Issue 2, p491-516. 26p. - Publication Year :
- 2011
-
Abstract
- Motivated by an obstacle problem for a membrane subject to cohesion forces, constrained minimization problems involving a nonconvex and nondifferentiable objective functional representing the total potential energy are considered. The associated first-order optimality system leads to a hemivaxiational inequality, which can also be interpreted as a special complementarity problem in function space. Besides an analytical investigation of first-order optimality, a primal-dual active set solver is introduced. It is associated to a limit case of a semismooth Newton method for a regularized version of the underlying problem class. For the numerical algorithms studied in this paper, global as well as local convergence properties are derived and verified numerically. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10526234
- Volume :
- 21
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 66193482
- Full Text :
- https://doi.org/10.1137/10078299