115 citations · 220 across the 19 of their papers we have counts for
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cs.LG2019★ 115 cited
Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs
Zhiqiang Cai, Jingshuang Chen, Min Liu +1
This paper studies an unsupervised deep learning-based numerical approach for solving partial differential equations (PDEs). The approach makes use of the deep neural network to ap…
math.NA2019
A finite element method for Dirichlet boundary control of elliptic partial differential equations
Shaohong Du, Zhiqiang Cai
This paper introduces a new variational formulation for Dirichlet boundary control problem of elliptic partial differential equations, based on observations that the state and adjo…