3 papers
math.NA2026
Fast Numerical Approximation of Linear, Second-Order Hyperbolic Problems Using Model Order Reduction and the Laplace Transform
Fernando Henriquez, Jan S. Hesthaven
We extend our previous work [F. Henr'iquez and J. S. Hesthaven, arXiv:2403.02847 (2024)] to the linear, second-order wave equation in bounded domains. This technique uses two widel…
math.NA2026
A Model Order Reduction Method for Seismic Applications Using the Laplace Transform
Fernando Henriquez, Matthias Schlottbom
We devise and analyze a reduced basis model order reduction (MOR) strategy for an abstract wave problem with vanishing initial conditions and a source term given by the product of…
math.NA2024
Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains
Philipp Weder, Mariella Kast, Fernando HenrÃquez +1
We investigate reduced-order models for acoustic and electromagnetic wave problems in parametrically defined domains. The parameter-to-solution maps are approximated following the…