Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning
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Publication:6108164
DOI10.1137/22m1488405arXiv2012.08023MaRDI QIDQ6108164
Jian-Guo Huang, Chunmei Wang, Haizhao Yang, Fan Chen
Publication date: 29 June 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.08023
minimax optimizationweak solutionpartial differential equationFriedrichs' systemdeep neural networkhigh-dimensional complex domain
Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Neural nets and related approaches to inference from stochastic processes (62M45) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
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A priori generalization error analysis of two-layer neural networks for solving high dimensional Schrödinger eigenvalue problems ⋮ Deep Ritz method for elliptical multiple eigenvalue problems
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