A deep double Ritz method (\(\mathrm{D^2RM}\)) for solving partial differential equations using neural networks
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Publication:2683471
DOI10.1016/j.cma.2023.115892OpenAlexW4317033828MaRDI QIDQ2683471
Ignacio Muga, Carlos Uriarte, David Pardo, Judit Muñoz-Matute
Publication date: 10 February 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.03627
neural networksvariational formulationRitz methodpartial differential equationsresidual minimizationoptimal test functions
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Some elliptic second order problems and neural network solutions: existence and error estimates ⋮ Deep Ritz method with adaptive quadrature for linear elasticity ⋮ Adversarial deep energy method for solving saddle point problems involving dielectric elastomers
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Cites Work
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