24 citations · 102 across the 16 of their papers we have counts for
18 papers
Partially Explicit Generalized Multiscale Method for Poroelasticity Problem
Xin Su, Wing Tat Leung, Wenyuan Li +1
We develop a partially explicit time discretization based on the framework of constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for the problem…
Fast Online Adaptive Enrichment for Poroelasticity with High Contrast
Xin Su, Sai-Mang Pun
In this work, we develop an online adaptive enrichment method within the framework of the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for…
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations
Yalchin Efendiev, Wing Tat Leung, Wenyuan Li +2
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 equat…
A Multiscale Method for the Heterogeneous Signorini Problem
Xin Su, Sai-Mang Pun
In this paper, we develop a multiscale method for solving the Signorini problem with a heterogeneous field. The Signorini problem is encountered in many applications, such as hydro…
Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media
Jiuhua Hu, Wing Tat Leung, Eric Chung +2
In this paper, we consider a parabolic problem with time-dependent heterogeneous coefficients. Many applied problems have coupled space and time heterogeneities. Their homogenizati…
Computational multiscale methods for parabolic wave approximations in heterogeneous media
Eric Chung, Yalchin Efendiev, Sai-Mang Pun +1
In this paper, we develop a computational multiscale to solve the parabolic wave approximation with heterogeneous and variable media. Parabolic wave approximation is a technique to…
Online adaptive algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method
Sai-Mang Pun, Siu Wun Cheung
In this research, we propose an online basis enrichment strategy within the framework of a recently developed constraint energy minimizing generalized multiscale discontinuous Gale…
Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem
Eric Chung, Yalchin Efendiev, Wing Tat Leung +2
In this work, we propose a multi-agent actor-critic reinforcement learning (RL) algorithm to accelerate the multi-level Monte Carlo Markov Chain (MCMC) sampling algorithms. The pol…
Temporal Splitting algorithms for non-stationary multiscale problems
Yalchin Efendiev, Sai-Mang Pun, Petr N. Vabishchevich
In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multisca…
A multi-stage deep learning based algorithm for multiscale modelreduction
Eric Chung, Wing Tat Leung, Sai-Mang Pun +1
In this work, we propose a multi-stage training strategy for the development of deep learning algorithms applied to problems with multiscale features. Each stage of the pro-posed s…
Computational multiscale methods for quasi-gas dynamic equations
Boris Chetverushkin, Eric Chung, Yalchin Efendiev +2
In this paper, we consider the quasi-gas-dynamic (QGD) model in a multiscale environment. The model equations can be regarded as a hyperbolic regularization and are derived from ki…
Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains
Eric Chung, Jiuhua Hu, Sai-Mang Pun
In this paper, we consider the incompressible Stokes flow problem in a perforated domain and employ the constraint energy minimizing generalized multiscale finite element method (C…
Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM
Eric Chung, Sai-Mang Pun
In this paper, we consider a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element meth…
Computational Multiscale Methods for Linear Poroelasticity with High Contrast
Shubin Fu, Robert Altmann, Eric T. Chung +3
In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with…
Online basis construction for goal-oriented adaptivity in the Generalized Multiscale Finite Element Method
Eric T. Chung, Sara Pollock, Sai-Mang Pun
In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous…
An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations
Eric T. Chung, Sai-Mang Pun, Zhiwen Zhang
In this paper, we propose a dynamically low-dimensional approximation method to solve a class of time-dependent multiscale stochastic diffusion equations. A dynamically bi-orthogon…
Online adaptive basis enrichment for mixed CEM-GMsFEM
Eric T. Chung, Sai-Mang Pun
In this research, an online basis enrichment strategy for the constraint energy minimizing generalized multiscale finite element method in mixed formulation is proposed. The online…
Computational multiscale methods for linear heterogeneous poroelasticity
Robert Altmann, Eric Chung, Roland Maier +2
We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical modeling. This poroelasticity problem suffers from rapidly o…