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arXiv · 2008.02844

Error Estimates for Deep Learning Methods in Fluid Dynamics

Animikh Biswas·Jing Tian·Suleyman Ulusoy
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Abstract

In this study, we provide error estimates and stability analysis of deep learning techniques for certain partial differential equations including the incompressible Navier-Stokes equations. In particular, we obtain explicit error estimates (in suitable norms) for the solution computed by optimizing a loss function in a Deep Neural Network (DNN) approximation of the solution, with a fixed complexity.

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Animikh Biswas, Jing Tian, Suleyman Ulusoy. 2020-08-06. Error Estimates for Deep Learning Methods in Fluid Dynamics. https://arxiv.org/abs/2008.02844

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