Leung, Wing Tat; Li, Wenyuan Partially explicit splitting method for a multi-physics problem. (English) Zbl 07797175 J. Comput. Appl. Math. 441, Article ID 115628, 17 p. (2024). MSC: 65M60 65M06 65N30 76R50 35Q35 PDFBibTeX XMLCite \textit{W. T. Leung} and \textit{W. Li}, J. Comput. Appl. Math. 441, Article ID 115628, 17 p. (2024; Zbl 07797175) Full Text: DOI
Wang, Yating; Leung, Wing Tat An adaptive space and time method in partially explicit splitting scheme for multiscale flow problems. (English) Zbl 07731299 Comput. Math. Appl. 144, 100-123 (2023). MSC: 65N30 76M10 65M60 65N55 65M12 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. T. Leung}, Comput. Math. Appl. 144, 100--123 (2023; Zbl 07731299) Full Text: DOI
Efendiev, Yalchin; Leung, Wing Tat Multicontinuum homogenization and its relation to nonlocal multicontinuum theories. (English) Zbl 07640533 J. Comput. Phys. 474, Article ID 111761, 20 p. (2023). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{Y. Efendiev} and \textit{W. T. Leung}, J. Comput. Phys. 474, Article ID 111761, 20 p. (2023; Zbl 07640533) Full Text: DOI arXiv
Efendiev, Yalchin; Leung, Wing Tat; Li, Wenyuan; Pun, Sai-Mang; Vabishchevich, Petr N. Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations. (English) Zbl 07620349 J. Comput. Phys. 472, Article ID 111555, 17 p. (2023). MSC: 60Jxx 76Sxx 60Kxx PDFBibTeX XMLCite \textit{Y. Efendiev} et al., J. Comput. Phys. 472, Article ID 111555, 17 p. (2023; Zbl 07620349) Full Text: DOI arXiv
Wang, Yating; Leung, Wing Tat; Lin, Guang AMS-net: adaptive multiscale sparse neural network with interpretable basis expansion for multiphase flow problems. (English) Zbl 1493.65234 Multiscale Model. Simul. 20, No. 2, 618-640 (2022). MSC: 65N30 76M10 76S05 68T07 76-10 PDFBibTeX XMLCite \textit{Y. Wang} et al., Multiscale Model. Simul. 20, No. 2, 618--640 (2022; Zbl 1493.65234) Full Text: DOI arXiv
Leung, Wing Tat; Wang, Yating Multirate partially explicit scheme for multiscale flow problems. (English) Zbl 1492.65268 SIAM J. Sci. Comput. 44, No. 3, A1775-A1806 (2022). MSC: 65M60 65M06 65N30 65M50 76S05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{W. T. Leung} and \textit{Y. Wang}, SIAM J. Sci. Comput. 44, No. 3, A1775--A1806 (2022; Zbl 1492.65268) Full Text: DOI arXiv
Cheung, Siu Wun; Chung, Eric; Efendiev, Yalchin; Leung, Wing Tat; Pun, Sai-Mang Iterative oversampling technique for constraint energy minimizing generalized multiscale finite element method in the mixed formulation. (English) Zbl 1510.76086 Appl. Math. Comput. 415, Article ID 126622, 17 p. (2022). MSC: 76M10 65N30 35Q35 PDFBibTeX XMLCite \textit{S. W. Cheung} et al., Appl. Math. Comput. 415, Article ID 126622, 17 p. (2022; Zbl 1510.76086) Full Text: DOI arXiv
Chung, Eric; Leung, Wing Tat; Pun, Sai-Mang; Zhang, Zecheng A multi-stage deep learning based algorithm for multiscale model reduction. (English) Zbl 1524.65522 J. Comput. Appl. Math. 394, Article ID 113506, 15 p. (2021). MSC: 65M60 65N30 76S05 68T07 35R02 PDFBibTeX XMLCite \textit{E. Chung} et al., J. Comput. Appl. Math. 394, Article ID 113506, 15 p. (2021; Zbl 1524.65522) Full Text: DOI arXiv
Cheung, Siu Wun; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria Constraint energy minimizing generalized multiscale finite element method for dual continuum model. (English) Zbl 1460.65119 Commun. Math. Sci. 18, No. 3, 663-685 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 76S05 76N10 65M70 65K10 PDFBibTeX XMLCite \textit{S. W. Cheung} et al., Commun. Math. Sci. 18, No. 3, 663--685 (2020; Zbl 1460.65119) Full Text: DOI arXiv
Li, Hanyu; Leung, Wing Tat; Wheeler, Mary F. Sequential local mesh refinement solver with separate temporal and spatial adaptivity for non-linear two-phase flow problems. (English) Zbl 1453.76076 J. Comput. Phys. 403, Article ID 109074, 23 p. (2020). MSC: 76M10 65M60 65M50 76S05 76T06 PDFBibTeX XMLCite \textit{H. Li} et al., J. Comput. Phys. 403, Article ID 109074, 23 p. (2020; Zbl 1453.76076) Full Text: DOI arXiv
Wang, Min; Cheung, Siu Wun; Leung, Wing Tat; Chung, Eric T.; Efendiev, Yalchin; Wheeler, Mary Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction. (English) Zbl 1454.76007 J. Comput. Phys. 401, Article ID 108939, 20 p. (2020). MSC: 76-10 68T07 76S05 PDFBibTeX XMLCite \textit{M. Wang} et al., J. Comput. Phys. 401, Article ID 108939, 20 p. (2020; Zbl 1454.76007) Full Text: DOI
Cheung, Siu Wun; Chung, Eric T.; Leung, Wing Tat Constraint energy minimizing generalized multiscale discontinuous Galerkin method. (English) Zbl 1450.76022 J. Comput. Appl. Math. 380, Article ID 112960, 16 p. (2020). MSC: 76M10 65M30 65N30 PDFBibTeX XMLCite \textit{S. W. Cheung} et al., J. Comput. Appl. Math. 380, Article ID 112960, 16 p. (2020; Zbl 1450.76022) Full Text: DOI arXiv
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat Multiscale stabilization for convection-diffusion equations with heterogeneous velocity and diffusion coefficients. (English) Zbl 1437.65181 Comput. Math. Appl. 79, No. 8, 2336-2349 (2020). MSC: 65N30 65N12 65N15 76R50 35Q35 PDFBibTeX XMLCite \textit{E. T. Chung} et al., Comput. Math. Appl. 79, No. 8, 2336--2349 (2020; Zbl 1437.65181) Full Text: DOI arXiv
Vasilyeva, Maria; Chung, Eric T.; Leung, Wing Tat; Alekseev, Valentin Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models. (English) Zbl 1431.76130 GEM. Int. J. Geomath. 10, No. 1, Paper No. 23, 23 p. (2019). MSC: 76S05 76M10 76M12 65M08 65M60 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., GEM. Int. J. Geomath. 10, Paper No. 23, 23 p. (2019; Zbl 1431.76130) Full Text: DOI arXiv
Vasilyeva, Maria; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Wang, Yating Upscaled model for mixed dimensional coupled flow problem in fractured porous media using non-local multicontinuum (NLMC) method. (English) Zbl 1434.76075 Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 604-611 (2019). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{M. Vasilyeva} et al., Lect. Notes Comput. Sci. 11386, 604--611 (2019; Zbl 1434.76075) Full Text: DOI
Singh, Gurpreet; Leung, Wingtat; Wheeler, Mary F. Multiscale methods for model order reduction of non-linear multiphase flow problems. (English) Zbl 1414.76088 Comput. Geosci. 23, No. 2, 305-323 (2019). MSC: 76T30 76S05 PDFBibTeX XMLCite \textit{G. Singh} et al., Comput. Geosci. 23, No. 2, 305--323 (2019; Zbl 1414.76088) Full Text: DOI arXiv
Galvis, Juan; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat On overlapping domain decomposition methods for high-contrast multiscale problems. (English) Zbl 1442.65427 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 45-57 (2018). MSC: 65N55 65N30 65F10 65F08 65F22 76S05 PDFBibTeX XMLCite \textit{J. Galvis} et al., Lect. Notes Comput. Sci. Eng. 125, 45--57 (2018; Zbl 1442.65427) Full Text: DOI arXiv
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating Non-local multi-continua upscaling for flows in heterogeneous fractured media. (English) Zbl 1415.76449 J. Comput. Phys. 372, 22-34 (2018). MSC: 76M10 65M55 65N55 65M60 65N30 76S05 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Comput. Phys. 372, 22--34 (2018; Zbl 1415.76449) Full Text: DOI arXiv
Chung, Eric; Efendiev, Yalchin; Leung, Wing Tat Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. (English) Zbl 1405.76049 Comput. Geosci. 22, No. 3, 677-693 (2018). MSC: 76S05 65N30 PDFBibTeX XMLCite \textit{E. Chung} et al., Comput. Geosci. 22, No. 3, 677--693 (2018; Zbl 1405.76049) Full Text: DOI arXiv
Chung, Eric T.; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating Multiscale model reduction for transport and flow problems in perforated domains. (English) Zbl 1432.76086 J. Comput. Appl. Math. 330, 519-535 (2018). MSC: 76D07 76M10 76S05 PDFBibTeX XMLCite \textit{E. T. Chung} et al., J. Comput. Appl. Math. 330, 519--535 (2018; Zbl 1432.76086) Full Text: DOI
Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat; Vasilyeva, Maria; Wang, Yating Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains. (English) Zbl 1372.65322 Appl. Anal. 96, No. 12, 2002-2031 (2017). MSC: 65N55 35J05 74B05 76D07 65N30 PDFBibTeX XMLCite \textit{E. T. Chung} et al., Appl. Anal. 96, No. 12, 2002--2031 (2017; Zbl 1372.65322) Full Text: DOI arXiv
Calo, Victor M.; Chung, Eric T.; Efendiev, Yalchin; Leung, Wing Tat Multiscale stabilization for convection-dominated diffusion in heterogeneous media. (English) Zbl 1423.76215 Comput. Methods Appl. Mech. Eng. 304, 359-377 (2016). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{V. M. Calo} et al., Comput. Methods Appl. Mech. Eng. 304, 359--377 (2016; Zbl 1423.76215) Full Text: DOI arXiv
Chung, Eric T.; Leung, Wing Tat A sub-grid structure enhanced discontinuous Galerkin method for multiscale diffusion and convection-diffusion problems. (English) Zbl 1373.76080 Commun. Comput. Phys. 14, No. 2, 370-392 (2013). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{E. T. Chung} and \textit{W. T. Leung}, Commun. Comput. Phys. 14, No. 2, 370--392 (2013; Zbl 1373.76080) Full Text: DOI