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A physics-informed neural network is presented for poroelastic problems with coupled flow and deformation processes.
1901
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1904
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1905
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1905
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1909
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S. Barry, G. Mercer, Exact solutions for two-dimensional time-dependent flow and deformation within a poroelastic medium, Journal of applied mechanics 66 (2) (1999) 536–540
1999
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2001
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2001
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2002
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2005
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2009
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2016
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H. Guo, X. Zhuang, T. Rabczuk, A deep collocation method for the bending analysis of Kirchhoff plate, Comput Mater Continua 59 (2) (2019) 433–456
2019
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Y. Yang, P. Perdikaris, Adversarial uncertainty quantification in physics-informed neural networks, Journal of Computational Physics 394 (2019) 136–152
2019
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Z. Mao, A. D. Jagtap, G. E. Karniadakis, Physics-informed neural networks for high-speed flows, Computer Methods in Applied Mechanics and Engineering 360 (2020) 112789
2020
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X. Meng, G. E. Karniadakis, A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems, Journal of Computational Physics 401 (2020) 109020
2020
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A. G. Baydin, B. A. Pearlmutter, A. A. Radul, J. M. Siskind, Automatic differentiation in machine learning: a survey, The Journal of Machine Learning Research 18 (1) (2017) 5595–5637
2017
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2018
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2018
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X. Yang, S. Zafar, J.-X. Wang, H. Xiao, Predictive large-eddy-simulation wall modeling via physics-informed neural networks, Physical Review Fluids 4 (3) (2019) 034602
2019
Cited alongside, same era.
M. Raissi, P. Perdikaris, G. E. Karniadakis, Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations, Journal of Computational Physics 378 (2019a) 686–707
Cited in the paper.
M. Raissi, Z. Wang, M. S. Triantafyllou, G. E. Karniadakis, Deep learning of vortex-induced vibrations, Journal of Fluid Mechanics 861 (2019b) 119–137
Cited in the paper.
D. Zhang, L. Lu, L. Guo, G. E. Karniadakis, Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems, Journal of Computational Physics 397 (2019b) 108850
Cited in the paper.
2020
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F. Sahli Costabal, Y. Yang, P. Perdikaris, D. E. Hurtado, E. Kuhl, Physics-informed neural networks for cardiac activation mapping, Frontiers in Physics 8 (2020) 42
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T. Kadeethum, T. M. Jørgensen, H. M. Nick, Physics-informed neural networks for solving nonlinear diffusivity and Biot’s equations, PloS one 15 (5) (2020) e0232683
2020
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