3 papers
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.NA2025
The Ginzburg-Landau equations: Vortex states and numerical multiscale approximations
Christian Döding, Patrick Henning
In this review article, we provide an overview of recent advances in the numerical approximation of minimizers of the Ginzburg-Landau energy in multiscale spaces. Such minimizers r…