Adaptive Two-Layer ReLU Neural Network: II. Ritz Approximation to Elliptic PDEs

DOI10.1016/J.CAMWA.2022.03.010zbMath1524.65939arXiv2107.06459WikidataQ114201486 ScholiaQ114201486MaRDI QIDQ6372741

Zhi-qiang Cai, Min Liu

Publication date: 13 July 2021

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Artificial neural networks and deep learning (68T07) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, boundary value problems (65N99)

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