A Comparison Study of Deep Galerkin Method and Deep Ritz Method for Elliptic Problems with Different Boundary Conditions

DOI10.4208/cmr.2020-0051zbMath1463.65363arXiv2005.04554OpenAlexW3103674763MaRDI QIDQ5142978

Keke Wu, Jingrun Chen, Rui Du

Publication date: 14 January 2021

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04554

zbMATH Keywords

boundary conditionspartial differential equationspenalty methoddeep Ritz methoddeep Galerkin method

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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