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20212024
most citedOptimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogates

1 citations · 1 across the 4 of their papers we have counts for

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math.OC2023

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…

math.OC2023

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…