Wing Tat Leung

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 65

Top Topics

Data Assimilation

Diffusion Equation

Finite Element Method

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Multiscale Model. Simul.

Publications

Wing Tat Leung
Some convergence analysis for multicontinuum homogenization. CoRR (2024)
Wing Tat Leung, Wenyuan Li
Partially explicit splitting method for a multi-physics problem. J. Comput. Appl. Math. 441 (2024)
Xin Su, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun
Partially Explicit Generalized Multiscale Method for Poroelasticity Problem. CoRR (2023)
Eric T. Chung, Yalchin Efendiev, Juan Galvis, Wing Tat Leung
Multicontinuum homogenization. General theory and applications. CoRR (2023)
Zecheng Zhang, Wing Tat Leung, Hayden Schaeffer
A discretization-invariant extension and analysis of some deep operator networks. CoRR (2023)
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 (2023)
Yalchin Efendiev, Wing Tat Leung
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. J. Comput. Phys. 474 (2023)
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) (2023)
Yating Wang, Wing Tat Leung
An adaptive space and time method in partially explicit splitting scheme for multiscale flow problems. Comput. Math. Appl. 144 (2023)
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 (2023)
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 (2023)
Yat Tin Chow, Wing Tat Leung, Ali Pakzad
Continuous data assimilation for two-phase flow: Analysis and simulations. J. Comput. Phys. 466 (2022)
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Sai-Mang Pun, Petr N. Vabishchevich
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. CoRR (2022)
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 (2022)
Wing Tat Leung, Guang Lin, Zecheng Zhang
NH-PINN: Neural homogenization-based physics-informed neural network for multiscale problems. J. Comput. Phys. 470 (2022)
Yalchin Efendiev, Wing Tat Leung, Guang Lin, Zecheng Zhang
Efficient hybrid explicit-implicit learning for multiscale problems. J. Comput. Phys. 467 (2022)
Zecheng Zhang, Wing Tat Leung, Hayden Schaeffer
BelNet: Basis enhanced learning, a mesh-free neural operator. CoRR (2022)
Yalchin Efendiev, Wing Tat Leung
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. CoRR (2022)
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 (2022)
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 (2022)
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li, Zecheng Zhang
Hybrid explicit-implicit learning for multiscale problems with time dependent source. CoRR (2022)
Yating Wang, Wing Tat Leung, Guang Lin
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems. CoRR (2022)
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) (2022)
Wing Tat Leung, Yating Wang
Multirate Partially Explicit Scheme for Multiscale Flow Problems. SIAM J. Sci. Comput. 44 (1) (2022)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
Contrast-independent partially explicit time discretizations for multiscale flow problems. CoRR (2021)
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 (2021)
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) (2021)
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 (2021)
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 (2021)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Petr N. Vabishchevich
Contrast-independent partially explicit time discretizations for multiscale wave problems. CoRR (2021)
Wing Tat Leung, Guang Lin, Zecheng Zhang
NH-PINN: Neural homogenization based physics-informed neural network for multiscale problems. CoRR (2021)
Wenyuan Li, Anatoly Alikhanov, Yalchin Efendiev, Wing Tat Leung
Partially Explicit Time Discretization for Nonlinear Time Fractional Diffusion Equations. CoRR (2021)
Yat Tin Chow, Wing Tat Leung, Ali Pakzad
Continuous data assimilation for two-phase flow: analysis and simulations. CoRR (2021)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Wenyuan Li
Contrast-independent partially explicit time discretizations for nonlinear multiscale problems. CoRR (2021)
Yalchin Efendiev, Wing Tat Leung, Guang Lin, Zecheng Zhang
HEI: hybrid explicit-implicit learning for multiscale problems. CoRR (2021)
Wing Tat Leung, Yating Wang
Multirate partially explicit scheme for multiscale flow problems. CoRR (2021)
Jiuhua Hu, Anatoly Alikhanov, Yalchin Efendiev, Wing Tat Leung
Partially Explicit Time Discretization for Time Fractional Diffusion Equation. CoRR (2021)
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)
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)
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 (2020)
Zecheng Zhang, Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations. CoRR (2020)
Eric T. Chung, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang
A multi-stage deep learning based algorithm for multiscale modelreduction. CoRR (2020)
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) (2020)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Maria V. Vasilyeva
Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales. CoRR (2020)
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 (2020)
Siu Wun Cheung, Eric T. Chung, Wing Tat Leung
Constraint energy minimizing generalized multiscale discontinuous Galerkin method. J. Comput. Appl. Math. 380 (2020)
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 (2020)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang
Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem. CoRR (2020)
Siu Wun Cheung, Eric T. Chung, Wing Tat Leung
Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method. CoRR (2019)
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 (2019)
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 (2019)
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 (2019)
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 (2019)
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 (2018)
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)
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 (2018)
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 (2018)
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) (2018)
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) (2018)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Fast online generalized multiscale finite element method using constraint energy minimization. J. Comput. Phys. 355 (2018)
Eric T. Chung, Wing Tat Leung, Sara N. Pollock
Goal-oriented adaptivity for GMsFEM. J. Comput. Appl. Math. 296 (2016)
Eric T. Chung, Wing Tat Leung, Maria V. Vasilyeva
Mixed GMsFEM for second order elliptic problem in perforated domains. J. Comput. Appl. Math. 304 (2016)
Eric T. Chung, Wing Tat Leung
Mixed GMsFEM for the simulation of waves in highly heterogeneous media. J. Comput. Appl. Math. 306 (2016)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Residual-driven online generalized multiscale finite element methods. J. Comput. Phys. 302 (2015)
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) (2015)
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung
Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media. Multiscale Model. Simul. 12 (4) (2014)