most citedAnalysis of Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Conditions

3 citations · 3 across the 1 of their papers we have counts for

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2 papers

math.NA2021★ 3 cited

Analysis of Deep Ritz Methods for Laplace Equations with Dirichlet Boundary Conditions

Chenguang Duan, Yuling Jiao, Yanming Lai +3

Deep Ritz methods (DRM) have been proven numerically to be efficient in solving partial differential equations. In this paper, we present a convergence rate in norm for dee…

math.NA2021

Error Analysis of Deep Ritz Methods for Elliptic Equations

Yuling Jiao, Yanming Lai, Yisu Lo +2

Using deep neural networks to solve PDEs has attracted a lot of attentions recently. However, why the deep learning method works is falling far behind its empirical success. In thi…