Adaptive two-layer ReLU neural network: II. Ritz approximation to elliptic PDEs

Min Liu; Zhiqiang Cai

doi:10.1016/j.camwa.2022.03.010

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Adaptive two-layer ReLU neural network: II. Ritz approximation to elliptic PDEs

Min Liu Zhiqiang Cai

Year: 2022 Journal: Computers & Mathematics with Applications Vol: 113 Pages: 103-116 Publisher: Elsevier BV

DOI: 10.1016/j.camwa.2022.03.010

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Keywords:

Mathematics Ritz method Estimator Partial differential equation Discretization Artificial neural network Spline (mechanical) Applied mathematics Norm (philosophy) Mathematical analysis Boundary value problem Computer science

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Model Reduction and Neural Networks

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Advanced Numerical Methods in Computational Mathematics

Physical Sciences → Engineering → Computational Mechanics

Advanced Mathematical Modeling in Engineering

Physical Sciences → Computer Science → Computational Theory and Mathematics

Adaptive two-layer ReLU neural network: II. Ritz approximation to elliptic PDEs

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