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2020 – today
- 2025
[j41]Zecheng Zhang, Wing Tat Leung
, Hayden Schaeffer:
A discretization-invariant extension and analysis of some deep operator networks. J. Comput. Appl. Math. 456: 116226 (2025)- 2024
- [j40]Yating Wang, Wing Tat Leung:
Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems. Commun. Nonlinear Sci. Numer. Simul. 136: 108094 (2024) - [j39]Wing Tat Leung, Wenyuan Li:
Partially explicit splitting method for a multi-physics problem. J. Comput. Appl. Math. 441: 115628 (2024) - [j38]Xin Su, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun:
Partially explicit generalized multiscale finite element methods for poroelasticity problem. J. Comput. Appl. Math. 448: 115935 (2024) - [j37]Eric T. Chung, Yalchin Efendiev, Juan Galvis, Wing Tat Leung:
Multicontinuum homogenization. General theory and applications. J. Comput. Phys. 510: 112980 (2024) - [j36]Fan Wang, Yating Wang, Wing Tat Leung, Zongben Xu:
Learning-based multi-continuum model for multiscale flow problems. J. Comput. Phys. 514: 113222 (2024) - [i32]Wing Tat Leung:
Some convergence analysis for multicontinuum homogenization. CoRR abs/2401.12799 (2024) - [i31]Fan Wang, Yating Wang, Wing Tat Leung, Zongben Xu:
Learning-based Multi-continuum Model for Multiscale Flow Problems. CoRR abs/2403.14084 (2024) - [i30]Yating Wang, Wing Tat Leung:
Partially explicit splitting scheme with explicit-implicit-null method for nonlinear multiscale flow problems. CoRR abs/2403.14220 (2024) - [i29]Wei Xie, Yalchin Efendiev, Yunqing Huang, Wing Tat Leung, Yin Yang:
Multicontinuum homogenization in perforated domains. CoRR abs/2404.17471 (2024) - 2023
- [j35]Yating Wang, Wing Tat Leung:
An adaptive space and time method in partially explicit splitting scheme for multiscale flow problems. Comput. Math. Appl. 144: 100-123 (2023) - [j34]Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Zecheng Zhang:
Hybrid explicit-implicit learning for multiscale problems with time dependent source. Commun. Nonlinear Sci. Numer. Simul. 120: 107081 (2023) - [j33]Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich:
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. J. Comput. Phys. 472: 111555 (2023) - [j32]Yalchin Efendiev, Wing Tat Leung:
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. J. Comput. Phys. 474: 111761 (2023) - [j31]Eric T. Chung, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang:
Multi-agent Reinforcement Learning Aided Sampling Algorithms for a Class of Multiscale Inverse Problems. J. Sci. Comput. 96(2): 55 (2023) - [i28]Zecheng Zhang, Wing Tat Leung, Hayden Schaeffer:
A discretization-invariant extension and analysis of some deep operator networks. CoRR abs/2307.09738 (2023) - [i27]Zecheng Zhang, Christian Moya, Wing Tat Leung, Guang Lin, Hayden Schaeffer:
Bayesian deep operator learning for homogenized to fine-scale maps for multiscale PDE. CoRR abs/2308.14188 (2023) - [i26]Eric T. Chung, Yalchin Efendiev, Juan Galvis, Wing Tat Leung:
Multicontinuum homogenization. General theory and applications. CoRR abs/2309.08128 (2023) - [i25]Xin Su, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun:
Partially Explicit Generalized Multiscale Method for Poroelasticity Problem. CoRR abs/2310.14199 (2023) - 2022
- [j30]Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Sai-Mang Pun:
Iterative oversampling technique for constraint energy minimizing generalized multiscale finite element method in the mixed formulation. Appl. Math. Comput. 415: 126622 (2022) - [j29]Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung:
Partially explicit time discretization for nonlinear time fractional diffusion equations. Commun. Nonlinear Sci. Numer. Simul. 113: 106440 (2022) - [j28]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich:
Contrast-independent partially explicit time discretizations for multiscale wave problems. J. Comput. Phys. 466: 111226 (2022) - [j27]Yat Tin Chow, Wing Tat Leung, Ali Pakzad:
Continuous data assimilation for two-phase flow: Analysis and simulations. J. Comput. Phys. 466: 111395 (2022) - [j26]Yalchin Efendiev, Wing Tat Leung, Guang Lin, Zecheng Zhang:
Efficient hybrid explicit-implicit learning for multiscale problems. J. Comput. Phys. 467: 111326 (2022) - [j25]Wing Tat Leung, Guang Lin, Zecheng Zhang:
NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems. J. Comput. Phys. 470: 111539 (2022) - [j24]Yating Wang, Wing Tat Leung, Guang Lin:
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems. Multiscale Model. Simul. 20(1): 618-640 (2022) - [j23]Wing Tat Leung, Yating Wang:
Multirate Partially Explicit Scheme for Multiscale Flow Problems. SIAM J. Sci. Comput. 44(1): 1775- (2022) - [i24]Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich:
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. CoRR abs/2204.00554 (2022) - [i23]Yating Wang, Wing Tat Leung, Guang Lin:
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems. CoRR abs/2207.11735 (2022) - [i22]Yalchin Efendiev, Wing Tat Leung:
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. CoRR abs/2208.04005 (2022) - [i21]Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Zecheng Zhang:
Hybrid explicit-implicit learning for multiscale problems with time dependent source. CoRR abs/2208.06790 (2022) - [i20]Zecheng Zhang, Wing Tat Leung, Hayden Schaeffer:
BelNet: Basis enhanced learning, a mesh-free neural operator. CoRR abs/2212.07336 (2022) - 2021
- [j22]Eric T. Chung, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang:
A multi-stage deep learning based algorithm for multiscale model reduction. J. Comput. Appl. Math. 394: 113506 (2021) - [j21]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich:
Contrast-independent partially explicit time discretizations for multiscale flow problems. J. Comput. Phys. 445: 110578 (2021) - [j20]Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media. Multiscale Model. Simul. 19(4): 1736-1759 (2021) - [i19]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich:
Contrast-independent partially explicit time discretizations for multiscale flow problems. CoRR abs/2101.04863 (2021) - [i18]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich:
Contrast-independent partially explicit time discretizations for multiscale wave problems. CoRR abs/2102.13198 (2021) - [i17]Jiuhua Hu, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Sai-Mang Pun:
Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media. CoRR abs/2106.12010 (2021) - [i16]Wing Tat Leung, Yating Wang:
Multirate partially explicit scheme for multiscale flow problems. CoRR abs/2108.06485 (2021) - [i15]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Wenyuan Li:
Contrast-independent partially explicit time discretizations for nonlinear multiscale problems. CoRR abs/2108.12580 (2021) - [i14]Wing Tat Leung, Guang Lin, Zecheng Zhang:
NH-PINN: Neural homogenization based physics-informed neural network for multiscale problems. CoRR abs/2108.12942 (2021) - [i13]Jiuhua Hu, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung:
Partially Explicit Time Discretization for Time Fractional Diffusion Equation. CoRR abs/2108.12989 (2021) - [i12]Yalchin Efendiev, Wing Tat Leung, Guang Lin, Zecheng Zhang:
HEI: hybrid explicit-implicit learning for multiscale problems. CoRR abs/2109.02147 (2021) - [i11]Wenyuan Li, Anatoly A. Alikhanov, Yalchin Efendiev, Wing Tat Leung:
Partially Explicit Time Discretization for Nonlinear Time Fractional Diffusion Equations. CoRR abs/2110.13248 (2021) - [i10]Yat Tin Chow, Wing Tat Leung, Ali Pakzad:
Continuous data assimilation for two-phase flow: analysis and simulations. CoRR abs/2110.13491 (2021) - 2020
- [j19]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Multiscale stabilization for convection-diffusion equations with heterogeneous velocity and diffusion coefficients. Comput. Math. Appl. 79(8): 2336-2349 (2020) - [j18]Siu Wun Cheung, Eric T. Chung, Wing Tat Leung:
Constraint energy minimizing generalized multiscale discontinuous Galerkin method. J. Comput. Appl. Math. 380: 112960 (2020) - [j17]Min Wang, Siu Wun Cheung, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Mary F. Wheeler:
Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. J. Comput. Phys. 401 (2020) - [j16]Hanyu Li, Wing Tat Leung, Mary F. Wheeler:
Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems. J. Comput. Phys. 403 (2020) - [j15]Maria V. Vasilyeva, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Mary F. Wheeler:
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. J. Comput. Phys. 412: 109323 (2020) - [i9]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria V. Vasilyeva:
Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales. CoRR abs/2001.07988 (2020) - [i8]Zecheng Zhang, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations. CoRR abs/2004.04308 (2020) - [i7]Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media. CoRR abs/2009.00991 (2020) - [i6]Eric T. Chung, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang:
A multi-stage deep learning based algorithm for multiscale modelreduction. CoRR abs/2009.11341 (2020) - [i5]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang:
Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem. CoRR abs/2011.08954 (2020) - [i4]Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Sai-Mang Pun:
Iterative Oversampling Technique for Constraint Energy Minimizing Generalized Multiscale Finite Element Method in the Mixed Formulation. CoRR abs/2012.01817 (2020)
2010 – 2019
- 2019
- [j14]Maria V. 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). J. Comput. Appl. Math. 357: 215-227 (2019) - [j13]Denis Spiridonov, Maria V. Vasilyeva, Wing Tat Leung:
A Generalized Multiscale Finite Element Method (GMsFEM) for perforated domain flows with Robin boundary conditions. J. Comput. Appl. Math. 357: 319-328 (2019) - [i3]Maria V. Vasilyeva, Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Mary F. Wheeler:
Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques. CoRR abs/1907.02921 (2019) - [i2]Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Maria V. Vasilyeva, Mary F. Wheeler:
Space-Time Nonlinear Upscaling Framework Using Non-local Multi-continuum Approach. CoRR abs/1908.05582 (2019) - [i1]Siu Wun Cheung, Eric T. Chung, Wing Tat Leung:
Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method. CoRR abs/1909.12461 (2019) - 2018
- [j12]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Shuai Ye:
Generalized multiscale finite element methods for space-time heterogeneous parabolic equations. Comput. Math. Appl. 76(2): 419-437 (2018) - [j11]Eric T. Chung, Wing Tat Leung, Maria V. Vasilyeva, Yating Wang:
Multiscale model reduction for transport and flow problems in perforated domains. J. Comput. Appl. Math. 330: 519-535 (2018) - [j10]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Fast online generalized multiscale finite element method using constraint energy minimization. J. Comput. Phys. 355: 450-463 (2018) - [j9]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Zhiwen Zhang:
Cluster-based generalized multiscale finite element method for elliptic PDEs with random coefficients. J. Comput. Phys. 371: 606-617 (2018) - [j8]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria V. Vasilyeva, Yating Wang:
Non-local multi-continua upscaling for flows in heterogeneous fractured media. J. Comput. Phys. 372: 22-34 (2018) - [j7]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems. Multiscale Model. Simul. 16(3): 1227-1257 (2018) - [c1]Maria V. 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. FDM 2018: 604-611 - 2016
- [j6]Eric T. Chung, Wing Tat Leung, Sara N. Pollock:
Goal-oriented adaptivity for GMsFEM. J. Comput. Appl. Math. 296: 625-637 (2016) - [j5]Eric T. Chung, Wing Tat Leung, Maria V. Vasilyeva:
Mixed GMsFEM for second order elliptic problem in perforated domains. J. Comput. Appl. Math. 304: 84-99 (2016) - [j4]Eric T. Chung, Wing Tat Leung:
Mixed GMsFEM for the simulation of waves in highly heterogeneous media. J. Comput. Appl. Math. 306: 69-86 (2016) - 2015
- [j3]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Jun Ren:
Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method. Comput. 3(4): 670-686 (2015) - [j2]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Residual-driven online generalized multiscale finite element methods. J. Comput. Phys. 302: 176-190 (2015) - 2014
- [j1]Eric T. Chung, Yalchin Efendiev, Wing Tat Leung:
Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media. Multiscale Model. Simul. 12(4): 1691-1721 (2014)
Coauthor Index
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