Adaptive two-layer ReLU neural network: II. Ritz approximation to elliptic PDEs
Author:
Publisher
Elsevier BV
Subject
Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation
Reference26 articles.
1. Adaptive two-layer ReLU neural network: I. Best least-squares approximation;Liu;Comput. Math. Appl.,2022
2. A unified deep artificial neural network approach to partial differential equations in complex geometries;Berg;Neurocomputing,2018
3. Deep least-squares methods: an unsupervised learning-based numerical method for solving elliptic pdes;Cai;J. Comput. Phys.,2020
4. The deep Ritz method: a deep learning-based numerical algorithm for solving variational problems;E;Commun. Math. Stat.,2018
5. Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations;Raissia;J. Comput. Phys.,2019
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