2 papers
math.NA2024
Neural numerical homogenization based on Deep Ritz corrections
Mehdi Elasmi, Felix Krumbiegel, Roland Maier
Numerical homogenization methods aim at providing appropriate coarse-scale approximations of solutions to (elliptic) partial differential equations that involve highly oscillatory…
cs.LG2024
Taper-based scattering formulation of the Helmholtz equation to improve the training process of Physics-Informed Neural Networks
W. Dörfler, M. Elasmi, T. Laufer
This work addresses the scattering problem of an incident wave at a junction connecting two semi-infinite waveguides, which we intend to solve using Physics-Informed Neural Network…