Deep least-squares methods: an unsupervised learning-based numerical
method for solving elliptic PDEs

Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs

5 November 2019

Jingshuang Chen

Papers citing "Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic PDEs"

10 / 10 papers shown

Title
Physics-informed solution reconstruction in elasticity and heat transfer using the explicit constraint force method Conor Rowan K. Maute Alireza Doostan AI4CE 48 0 0 08 May 2025
Efficient Shallow Ritz Method For 1D Diffusion-Reaction Problems Zhiqiang Cai Anastassia Doktorova Robert D. Falgout César Herrera 19 0 0 01 Jul 2024
Astral: training physics-informed neural networks with error majorants V. Fanaskov Tianchi Yu Alexander Rudikov Ivan Oseledets 41 1 0 04 Jun 2024
Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time Y. Qian Yongchao Zhang Yuanfei Huang S. Dong PINN 21 1 0 22 Mar 2023
$r-$ Adaptive Deep Learning Method for Solving Partial Differential Equations Ángel J. Omella David Pardo AI4CE 31 4 0 19 Oct 2022
Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks Zhiwei Bai Tao Luo Z. Xu Yaoyu Zhang 31 4 0 26 May 2022
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method Zhongjian Wang Jack Xin Zhiwen Zhang 39 15 0 02 Nov 2021
Self-adaptive deep neural network: Numerical approximation to functions and PDEs Zhiqiang Cai Jingshuang Chen Min Liu ODL 15 14 0 07 Sep 2021
SPINN: Sparse, Physics-based, and partially Interpretable Neural Networks for PDEs A. A. Ramabathiran P. Ramachandran PINN AI4CE 27 76 0 25 Feb 2021
Reproducing Activation Function for Deep Learning Senwei Liang Liyao Lyu Chunmei Wang Haizhao Yang 36 21 0 13 Jan 2021