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Deep Galerkin Model in Batchflow
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, Fifth International Conference on Fault and Top Seals, Sep 2019, Volume 2019, p.1 - 5
Abstract
Recently, a lot of papers proposed to use neural networks to approximately solve partial differential equations (PDEs). Yet, there has been a lack of flexible framework for convenient experimentation. In an attempt to fill the gap, we introduce a DEEPGALERKIN-model from BATCHFLOW-framework, open-sourced on GITHUB. Coupled with capabilities of BATCHFLOW, DEEPGALERKIN-model allows to 1) solve partial differential equations from a large family, including heat equation and wave equation 2 ) easily search for the best neural-network architecture among the zoo, that includes RESNET and DENSENET 3) fully control the process of model-training by testing different point- sampling schemes. With that in mind, our main contribution goes as follows: implementation of a ready-to-use and open-source numerical solver of PDEs of a novel format, based on neural networks.