Computational Optimization and Applications
Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods
Journal of Computational and Applied Mathematics
Multigrid second-order accurate solution of parabolic control-constrained problems
Computational Optimization and Applications
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In this paper a simplified friction problem and iterative second-order algorithms for its solution are analyzed in infinite dimensional function spaces. Motivated from the dual formulation, a primal-dual active set strategy and a semismooth Newton method for a regularized problem as well as an augmented Lagrangian method for the original problem are presented and their close relation is analyzed. Local as well as global convergence results are given. By means of numerical tests, we discuss among others convergence properties, the dependence on the mesh, and the role of the regularization and illustrate the efficiency of the proposed methodologies.