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math.NA2024
Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains
Philipp Weder, Mariella Kast, Fernando Henríquez +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…
math.NA2023
Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks
Mariella Kast, Jan S Hesthaven
This work extends the paradigm of evolutional deep neural networks (EDNNs) to solving parametric time-dependent partial differential equations (PDEs) on domains with geometric stru…