3 papers
math.FA2026
Extension Operators for Fractional Sobolev Spaces on Lipschitz Submanifolds
Philipp Weder
A well-known result is that any Lipschitz domain is an extension domain for . This paper extends this result to Lipschitz subsets of compact Lipschitz submanifolds of $\ma…
math.NA2024
Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds
Philipp Weder, Paul Schwerdtner, Benjamin Peherstorfer
Leveraging nonlinear parametrizations for model reduction can overcome the Kolmogorov barrier that affects transport-dominated problems. In this work, we build on the reduced dynam…
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…