APFOS-Net: asymptotic preserving scheme for anisotropic elliptic equations with deep neural network

DOI10.1016/j.jcp.2022.110958OpenAlexW4206512537MaRDI QIDQ2133559

Chang Yang, Long Li

Publication date: 4 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05337

zbMATH Keywords

anisotropic elliptic equationsasymptotic preserving schemedeep neural networkfirst-order system least-squares formulations

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Uses Software

• L-BFGS
• DiffSharp
• Adam

Cites Work

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• DiffSharp
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