VarNet: Variational Neural Networks for the Solution of Partial Differential Equations

16 Dec 2019Reza Khodayi-MehrMichael M. Zavlanos

In this paper we propose a new model-based unsupervised learning method, called VarNet, for the solution of partial differential equations (PDEs) using deep neural networks (NNs). Particularly, we propose a novel loss function that relies on the variational (integral) form of PDEs as apposed to their differential form which is commonly used in the literature... (read more)

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