Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Wing Tat Leung"'
Publikováno v:
Mathematics, Vol 10, Iss 4, p 576 (2022)
In the paper, we study a design and stability of contrast-independent partially explicit time discretizations for Quasi-Gas-Dynamics (QGD) Equations in multiscale high-contrast media. In our previous works, we have introduced contrast-independent par
Externí odkaz:
https://doaj.org/article/6af2cfe316304e71878658f91dfc3a2a
Publikováno v:
Mathematics, Vol 9, Iss 23, p 3000 (2021)
This work continues a line of work on developing partially explicit methods for multiscale problems. In our previous works, we considered linear multiscale problems where the spatial heterogeneities are at the subgrid level and are not resolved. In t
Externí odkaz:
https://doaj.org/article/cf32e06fa7d44df789616c5c77cad99e
Publikováno v:
Computation, Vol 3, Iss 4, Pp 670-686 (2015)
In this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation. We construct a coa
Externí odkaz:
https://doaj.org/article/85c656a47b99458383c48ef34329bce9
Publikováno v:
Mathematics, Vol 8, Iss 5, p 720 (2020)
In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM). In order to obtain a
Externí odkaz:
https://doaj.org/article/e9017cdb805b49c5bef2f880eedf19fa
Publikováno v:
Mathematics, Vol 7, Iss 5, p 412 (2019)
In this paper, we propose a deep-learning-based approach to a class of multiscale problems. The generalized multiscale finite element method (GMsFEM) has been proven successful as a model reduction technique of flow problems in heterogeneous and high
Externí odkaz:
https://doaj.org/article/1662c2352ec84e9ead4fa3e12b847d7d
Publikováno v:
Citizenship Teaching & Learning. 17:203-225
When experiential learning emphasizes student participation and voice, experiential learning can be an effective form of political socialization to facilitate learning processes by enhancing knowledge construction and developing civic competency. Emp
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; 8/30/2023, Vol. 479 Issue 2276, p1-20, 20p
The splitting method is a powerful method for solving partial differential equations. Various splitting methods have been designed to separate different physics, nonlinearities, and so on. Recently, a new splitting approach has been proposed where so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d29258e51c16ef8e4302c2a1c0ecf8e5
http://arxiv.org/abs/2208.06790
http://arxiv.org/abs/2208.06790
Autor:
Yalchin Efendiev, Wing Tat Leung
In this paper, we present a general derivation of multicontinuum equations and discuss cell problems. We present constraint cell problem formulations in a representative volume element and oversampling techniques that allow reducing boundary effects.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c4e9cd1755cbf8e0e8c75ec61b96fbf
http://arxiv.org/abs/2208.04005
http://arxiv.org/abs/2208.04005
In this paper, we consider a class of convection-diffusion equations with memory effects. These equations arise as a result of homogenization or upscaling of linear transport equations in heterogeneous media and play an important role in many applica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc776363f2c31f5c0975683ea84f1d64
http://arxiv.org/abs/2204.00554
http://arxiv.org/abs/2204.00554