A Discontinuity and Cusp Capturing PINN for Stokes Interface Problems with Discontinuous Viscosity and Singular Forces

DOI10.4208/AAM.OA-2023-0028arXiv2307.09236MaRDI QIDQ6151360

Ming-Chih Lai, Yu-Hau Tseng

Publication date: 11 March 2024

Published in: Annals of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.09236

zbMATH Keywords

immersed interface methodStokes interface problemlevel set functionphysics-informed neural networkcusp-capturing neural networkdiscontinuity capturing shallow neural network

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Numerical methods for partial differential equations, boundary value problems (65N99)

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