Two neural-network-based methods for solving elliptic obstacle problems

DOI10.1016/j.chaos.2022.112313zbMath1504.65134OpenAlexW4283711937WikidataQ116009428 ScholiaQ116009428MaRDI QIDQ2112890

Wenrui Hao, Xinyue Evelyn Zhao, Bei Hu

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112313

zbMATH Keywords

obstacle problemsneural networksconvergence ratefree boundary problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (1)

Learning domain-independent Green's function for elliptic partial differential equations

Uses Software

• DGM

Cites Work

• Unnamed Item
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• Multigrid Algorithms for Variational Inequalities
• Neural‐network‐based approximations for solving partial differential equations
• Adaptive Multilevel Methods for Obstacle Problems
• An $L^1$ Penalty Method for General Obstacle Problems
• Approximation by superpositions of a sigmoidal function

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