Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Primal-dual interior-point methods
Primal-dual interior-point methods
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
The Primal-Dual Active Set Strategy as a Semismooth Newton Method
SIAM Journal on Optimization
On a solution of a generalized semi-coercive contact problem in thermo-elasticity
Mathematics and Computers in Simulation
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In this paper, it is shown that, for planar systems formed from linear-elastic bodies in non-penetrative contact with Coulomb friction, the limit load can be approximated efficiently by the limit loads corresponding to a sequence of contact problems with given friction, via a finite element fixed-point approach. For the auxiliary problem with given friction, a splitting of this problem into two subproblems, one with prescribed normal contact stresses and given friction and one with prescribed tangential contact stresses, is employed. Numerical results for masonry block structures subjected to in-plane loading illustrate the predictive capabilities of this approach.