Simulator-free solution of high-dimensional stochastic elliptic partial differential equations using deep neural networks

By S. Tripathy, Rohit Bilionis, I. Panchal, Jitesh Simulator-free. 2022

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1. Chengping Rao
2. Yang Liu
3. Pengfei Liu
4. Xipeng Qiu
5. Qinbin Li
6. Zi-Yi Dou
7. Jiatao Gu
8. Felix Stahlberg

Citations in the corpus

• Physics informed deep learning for computational elastodynamics without labeled data (2020, background): “…a short time, in a wide range of physical problems including modeling fluid flows and Navier-Stokes equations [10, 17–21], solving stochastic PDEs [22], flows transport in porous media [23–25], cardiovascular systems [26–28], design of metamaterials [29– 31], metamodeling of nonlinear structural…”