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math.AP2026
Optimization-Based Identification of Effective Coefficients for Wave Equations in Spatio-Temporal Metamaterials
Christian Döding, Vishnu Raveendran, Barbara Verfürth
We study the identification of effective coefficients for wave equations in heterogeneous media. Such equations arise in the modeling of spatio-temporal metamaterials, where the un…
math.NA2026
GLENN: Neural network-enhanced computation of Ginzburg-Landau energy minimizers
Michael Crocoll, Christian Döding, Benjamin Dörich +1
In this work, we propose a neural network-enhanced finite element strategy to compute the minimizer of the Ginzburg-Landau energy based on an unsupervised deep Ritz-type strategy.…
math.NA2026
On second-order optimality in the high- regime of the Ginzburg-Landau model
Christian Döding
We study energy minimizers of the Ginzburg-Landau (GL) free energy, a fundamental model of superconductivity. We address the high- regime, the regime of a large GL parameter, in…