SUPR
Training Physics-Informed neural networks with domain decomposition.
Dnr:

NAISS 2024/22-1707

Type:

NAISS Small Compute

Principal Investigator:

Kateryna Morozovska

Affiliation:

Kungliga Tekniska högskolan

Start Date:

2025-01-15

End Date:

2026-02-01

Primary Classification:

10105: Computational Mathematics

Webpage:

Allocation

Abstract

In this project we focus on training Physics-Informed Neural Networks with domain decomposition. Main focus of the work is to find entropy spable PINN which can handle shocks and most importantly discontinuities. Mostly the simulations would perform deep learning solutions of partial differential equations, mainly focusing on conservation laws. Additionally Bayesian inference and Bayesias Neural Networks are used for additional uncertainty quantification in time.