Analysis of deep Ritz methods for semilinear elliptic equations

DOI10.4208/nmtma.oa-2023-0058MaRDI QIDQ6662390

Yu Ling Jiao, Xiliang Lu, Mo Chen, Fengru Wang, Pengcheng Song, Jerry Zhijian Yang

Publication date: 14 January 2025

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

semilinear elliptic equationsconvergence ratedeep Ritz methodReLU\(^2\) ResNet

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Semilinear elliptic equations (35J61)

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