1 citations · 1 across the 4 of their papers we have counts for
4 papers
Optimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogates
Denis Khimin, Julian Roth, Alexander Henkes +1
The take-home message of this paper is that solving optimal control problems can be computationally straightforward, provided that differentiable partial differential equation (PDE…
Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation
Denis Khimin, Johannes Lankeit, Marc C. Steinbach +1
The purpose of this work is the formulation of optimality conditions for phase-field optimal control problems. The forward problem is first stated as an abstract nonlinear optimiza…
Coefficient Control of Variational Inequalities
Andreas Hehl, Denis Khimin, Ira Neitzel +3
Within this chapter, we discuss control in the coefficients of an obstacle problem. Utilizing tools from H-convergence, we show existence of optimal solutions. First order necessar…
Space-time formulation, discretization, and computations for phase-field fracture optimal control problems
Denis Khimin, Marc C. Steinbach, Thomas Wick
The purpose of this work is the development of space-time discretization schemes for phase-field optimal control problems. First, a time discretization of the forward problem is de…