We consider numerical identification of the piecewise constant permeability function in a nonlinear parabolic equation, with the augmented Lagrangian method. By studying this problem, we aim at also gaining some insight into the potential ability of the augmented Lagrangian method to handle permeability estimation within the full two-phase porous-media flow setting. The identification is formul...

Infeasible-Interior-Point methods shown in previous homeworks are well behaved when the number of constraints are small and the dimension of the energy function domain is also small. This fact is easily seen, since each iteration of such methods requires of solving a linear equation system whose size depends precisely on the number of constraints and the dimension of the search space. In additi...