Analysis of three dimensional potential problems in non-homogeneous media with physics-informed deep collocation method using material transfer learning and sensitivity analysis. (arXiv:2010.12060v2 [cs.LG] UPDATED)

Web: http://arxiv.org/abs/2010.12060

In this work, we present a deep collocation method for three dimensional
potential problems in nonhomogeneous media. This approach utilizes a physics
informed neural network with material transfer learning reducing the solution
of the nonhomogeneous partial differential equations to an optimization
problem. We tested different cofigurations of the physics informed neural
network including smooth activation functions, sampling methods for collocation
points generation and combined optimizers. A material transfer learning
technique is utilised for nonhomogeneous media with different material
gradations and …

analysis arxiv deep learning media physics transfer transfer learning