Science Project

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Project number Project name Project origin Start time Roles Project kind
12301559 基于深度学习的多尺度降阶模型修正方法 国家自然科学基金项目 2024-01~2026-12 负责人 Vertical project

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Submitted:

  • Fan Wang, Yating Wang*, Wing Tat Leung , Zongben Xu. Learning-based multi-continuum model for multiscale flow problems. https://arxiv.org/pdf/2403.14084.pdf

  • Yating Wang, Wing Tat Leung. Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems. https://arxiv.org/pdf/2403.14220.pdf 

  • Yating Wang, Bicheng Yan.On the feasibility of an ensemble multi-fidelity neural network for fast data assimilation for subsurface flow in porous media.

Published:

  • Yating Wang, Liu Liu. On a neural network approach for solving potential control problem of the semiclassical Schr\"odinger equation. Journal of Computational and Applied Mathematics (2024), Volume 438, 115504.
  • Yating Wang*, Wing Tat Leung. An adaptive space and time method in partially explicit splitting scheme for multiscale flow problems. Computers & Mathematics with Applications 144 (2023): 100-123.
  • Wing Tat Leung, Yating Wang*. Multirate partially explicit scheme for multiscale flow problems. SIAM Journal on Scientific Computing 44.3 (2022): A1775-A1806
  • Guang Lin, Yating Wang, Zecheng Zhang. Multi-variance replica exchange stochastic gradient MCMC for inverse and forward Bayesian physics-informed neural network. Journal of Computational Physics(2022), Volume 460, 111173
  • Yating Wang, Wing Tat Leung, Guang Lin. Sparse neural network for multiscale problems with prior basis dictionary. Multiscale Modeling & Simulation 20.2 (2022): 618-640.
  • Yating Wang, Wei Deng, Guang Lin. An adaptive Hessian approximated stochastic gradient MCMC method. Journal of Computational Physics (2021), 110150. 
  • Yating Wang, Wei Deng, Guang Lin. Bayesian Sparse learning with preconditioned stochastic gradient MCMC and its applications. Journal of Computational Physics (2021), 110134. 
  • Yating Wang, Guang Lin. MFPC-Net: Multi-fidelity Physical Constrained Neural Process. CSIAM Transactions on Applied Mathematics 1 (2020), pp. 715-739. 
  • Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Min Wang, Deep Multiscale Model Learning. Journal of Computational Physics 406 (2020): 109071.27 
  • Yating Wang, Guang Lin. Efficient Deep Learning Techniques for Multiphase Flow Simulation in Heterogeneous Porous Media. Journal of Computational Physics 401 (2020): 108968. 
  • Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Eduardo Gildin, Yating Wang, Jingyan Zhang, Deep Global Model Reduction Learning in Porous Media Flow Simulation, Computational Geosciences 24, no. 1 (2020): 261-274. 
  • Min Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang. Prediction of Discretization of GMsFEM Using Deep Learning. Mathematics 7, no. 5 (2019): 412. 
  • Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung, Yating Wang, Georgy Prokopev. Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media. Journal of Computational and Applied Mathematics 355 (2019): 258-267. 
  • Maria Vasilyeva, Eric T. Chung, Wing Tat Leung, Yating Wang, Denis Spiridonov. Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC). Journal of Computational and Applied Mathematics 357 (2019): 215-227. 
  • Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Yating Wang. Upscaled Model for Mixed Dimensional Coupled Flow Problem in Fractured Porous Media Using Non-local Multicontinuum (NLMC) Method. In International Conference on Finite Difference Methods, pp. 604-611. Springer, Cham, 2018. 
  • Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Non-local multi-continua upscaling for flows in heterogeneous fractured media. Journal of Computational Physics 372 (2018): 22-34. 
  • Na Zhang, Yating Wang, Yuhe Wang, Bicheng Yan, Qian Sun. A Locally Conservative Multiscale Finite Element Method for Multiphase Flow Simulation through Heterogeneous and Fractured Porous Media, Journal of Computational and Applied Mathematics, Journal of Computational and Applied Mathematics 343 (2018): 501-519. 
  • Na Zhang, Yating Wang, Qian Sun, Yuhe Wang, Multiscale Mass Transfer Coupling of Triple-Continuum and Discrete Fractures for Flow Simulation in Fractured Vuggy Porous Media, International Journal of Heat and Mass Transfer, 116 (2018): 484-495.
  • Eric T. Chung, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Multiscale model reduction for transport and flow problems in perforated domains. Journal of Computational and Applied Mathematics 330 (2018): 519-535. 
  • Eric T. Chung, Maria Vasilyeva, Yating Wang. A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains. Journal of Computational and Applied Mathematics 321 (2017): 389-405. 
  • Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria Vasilyeva, Yating Wang. Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. Applicable Analysis 96, no. 12 (2017): 2002-2031. 
  • Eric T. Chung, Yalchin Efendiev, Maria Vasilyeva, Yating Wang. 2016. A multiscale discontinuous Galerkin method in perforated domains. Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 42(2), pp. 212-229.