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20022026
most citedNanoscale simulation of shale transport properties using the lattice Boltzmann method: permeability and diffusivity

327 citations

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8 papers · 1 filter

math.NA2025★ 4 cited

An Optimally Convergent parallel splitting Algorithm for the Multiple-Network Poroelasticity Model

Jijing Zhao, Huangxin Chen, Mingchao Cai +1

This paper presents a novel parallel splitting algorithm for solving quasi-static multiple-network poroelasticity (MPET) equations. By introducing a total pressure variable, the MP…

math.NA2020★ 11 cited

A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media

Yiran Wang, Eric Chung, Shubin Fu

In this paper, we systemically review and compare two mixed multiscale finite element methods (MMsFEM) for multiphase transport in highly heterogeneous media. In particular, we wil…

math.NA2020

Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media

Xia Wang, Eric Chung, Shubin Fu +1

Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usuall…

math.NA2017

Bound-preserving discontinuous Galerkin method for compressible miscible displacement in porous media

Hui Guo, Yang Yang

In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for the coupled system of compressible miscible displacement problems. We consider the problem with t…

math.NA2016★ 47 cited

POD/DEIM Reduced-Order Modeling of Time-Fractional Partial Differential Equations with Applications in Parameter Identification

Hongfei Fu, Hong Wang, Zhu Wang

In this paper, a reduced-order model (ROM) based on the proper orthogonal decomposition and the discrete empirical interpolation method is proposed for efficiently simulating time-…

math.NA2015★ 1 cited

Hierarchical multiscale modeling for flows in fractured media using Generalized Multiscale Finite Element Method

Yalchin Efendiev, Seong Lee, Guanglian Li +2

In this paper, we develop a multiscale finite element method for solving flows in fractured media. Our approach is based on Generalized Multiscale Finite Element Method (GMsFEM), w…

math.NA2014★ 2 cited

Convergence of a decoupled mixed FEM for miscible displacement in interfacial porous media

Buyang Li, Hongxing Rui, Chaoxia Yang

In this paper, we study the stability and convergence of a decoupled and linearized mixed finite element method (FEM) for incompressible miscible displacement in a porous media who…

math.NA2011

Optimal error estimates and energy conservation identities of the ADI-FDTD scheme on staggered grids for 3D Maxwell's equations

Liping Gao, Bo Zhang

This paper is concerned with the optimal error estimates and energy conservation properties of the alternating direction implicit finite-difference time-domain (ADI-FDTD) method wh…