A mesh-free method using piecewise deep neural network for elliptic interface problems-Reference-Cited by-同舟云学术

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A mesh-free method using piecewise deep neural network for elliptic interface problems

Published:2022-10 Issue: Volume:412 Page:114358
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

He Cuiyu^ORCID,Hu Xiaozhe,Mu Lin

Funder

National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference43 articles.

1. Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems, Vol. 98;LeVeque,2007

2. The Mathematical Theory of Finite Element Methods, Vol. 15;Brenner,2007

3. An Introduction to Computational Fluid Dynamics: The Finite Volume Method;Versteeg,2007

4. Numerical Methods for Stochastic Computations: A Spectral Method Approach;Xiu,2010

5. Meshfree Methods: Moving beyond the Finite Element Method;Liu,2009

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1. A piecewise extreme learning machine for interface problems;Mathematics and Computers in Simulation;2025-01

2. Deep Interface Alternation Method (DIAM) based on domain decomposition for solving elliptic interface problems;Engineering Analysis with Boundary Elements;2024-11

3. Physics-specialized neural network with hard constraints for solving multi-material diffusion problems;Computer Methods in Applied Mechanics and Engineering;2024-10

4. Decoupling numerical method based on deep neural network for nonlinear degenerate interface problems;Computer Physics Communications;2024-10

5. Solving parametric elliptic interface problems via interfaced operator network;Journal of Computational Physics;2024-10

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