A mesh-free method for interface problems using the deep learning approach

DOI10.1016/j.jcp.2019.108963zbMath1454.65173arXiv1901.00618OpenAlexW2908429425WikidataQ127205436 ScholiaQ127205436MaRDI QIDQ2222664

Zhiwen Zhang, Zhongjian Wang

Publication date: 27 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00618

zbMATH Keywords

linear elasticityvariational problemshigh-contrastinterface problemsdeep learningmesh-free method

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Variational methods for elliptic systems (35J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for second-order elliptic systems (35J57)

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Uses Software

• TensorFlow
• Adam
• DGM

Cites Work

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