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09/21/2023
Wavelet-based Edge Multiscale Finite Element Methods for Singularly Perturbed Convection-Diffusion Equations
We propose a novel efficient and robust Wavelet-based Edge Multiscale Fi...
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02/16/2023
With Shared Microexponents, A Little Shifting Goes a Long Way
This paper introduces Block Data Representations (BDR), a framework for ...
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12/12/2022
Physics-preserving IMPES based multiscale methods for immiscible two-phase flow in highly heterogeneous porous media
In this paper, we propose a physics-preserving multiscale method to solv...
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07/10/2022
A discontinuous Galerkin based multiscale method for heterogeneous elastic wave equations
In this paper, we develop a local multiscale model reduction strategy fo...
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04/16/2022
Local multiscale model reduction using discontinuous Galerkin coupling for elasticity problems
In this paper, we consider the constrained energy minimizing generalized...
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03/30/2022
Constraint energy minimizing generalized multiscale finite element method for convection diffusion equation
In this paper we present and analyze a constraint energy minimizing gene...
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03/22/2022
A conservative multiscale method for stochastic highly heterogeneous flow
In this paper, we propose a local model reduction approach for subsurfac...
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01/19/2022
Generalized multiscale finite element method for highly heterogeneous compressible flow
In this paper, we study the generalized multiscale finite element method...
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11/26/2021
A deep learning based reduced order modeling for stochastic underground flow problems
In this paper, we propose a deep learning based reduced order modeling m...
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07/20/2021
Pressure-robust staggered DG methods for the Navier-Stokes equations on general meshes
In this paper, we design and analyze staggered discontinuous Galerkin me...
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06/22/2021
Space-time Non-local multi-continua upscaling for parabolic equations with moving channelized media
In this paper, we consider a parabolic problem with time-dependent heter...
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05/12/2021
A local-global generalized multiscale finite element method for highly heterogeneous stochastic groundwater flow problems
In this paper, we propose a local-global multiscale method for highly he...
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04/19/2021
Learning adaptive coarse spaces of BDDC algorithms for stochastic elliptic problems with oscillatory and high contrast coefficients
In this paper, we consider the balancing domain decomposition by constra...
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01/04/2021
Iterated numerical homogenization for multi-scale elliptic equations with monotone nonlinearity
Nonlinear multi-scale problems are ubiquitous in materials science and b...
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12/03/2020
Iterative Oversampling Technique for Constraint Energy Minimizing Generalized Multiscale Finite Element Method in the Mixed Formulation
In this paper, we develop an iterative scheme to construct multiscale ba...
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11/10/2020
Locking free staggered DG method for the Biot system of poroelasticity on general polygonal meshes
In this paper we propose and analyze a staggered discontinuous Galerkin ...
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09/30/2020
Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations
In this paper, we develop the constraint energy minimization generalized...
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08/26/2020
A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem
In this paper we propose and analyze a uniformly robust staggered DG met...
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08/20/2020
A comparison of mixed multiscale finite element methods for multiphase transport in highly heterogeneous media
In this paper, we systemically review and compare two mixed multiscale f...
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07/07/2020
Convergence of the CEM-GMsFEM for Stokes flows in heterogeneous perforated domains
In this paper, we consider the incompressible Stokes flow problem in a p...
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07/01/2020
A pressure robust staggered discontinuous Galerkin method for the Stokes equations
In this paper we propose a pressure robust staggered discontinuous Galer...
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06/23/2020
Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM
In this paper, we propose a coupled Discrete Empirical Interpolation Met...
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06/23/2020
Online conservative generalized multiscale finite element method for flow models
In this paper, we consider an online enrichment procedure using the Gene...
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06/23/2020
Online conservative generalized multiscale finite element methodto flow models
In this paper, we consider an online enrichment procedure using the Gene...
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06/08/2020
Adaptive staggered DG method for Darcy flows in fractured porous media
Modeling flows in fractured porous media is important in applications. O...
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05/22/2020
Staggered DG method with small edges for Darcy flows in fractured porous media
In this paper, we present and analyze a staggered discontinuous Galerkin...
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05/14/2020
Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media
Accurate numerical simulations of interaction between fluid and solid pl...
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04/09/2020
Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations
In this paper, we investigate and design multiscale simulations for stoc...
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11/20/2019
A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
In this paper we propose a novel staggered discontinuous Galerkin method...
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09/29/2019
Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
In this paper, we apply the constraint energy minimizing generalized mul...
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09/18/2019
Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM
In this paper, we consider a pressure-velocity formulation of the hetero...
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08/09/2019
A posteriori error estimates for the mortar staggered DG method
Two residual-type error estimators for the mortar staggered discontinuou...
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06/16/2019
Staggered DG method for coupling of the Stokes and Darcy-Forchheimer problems
In this paper we develop a staggered discontinuous Galerkin method for t...
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03/29/2019
SysML: The New Frontier of Machine Learning Systems
Machine learning (ML) techniques are enjoying rapidly increasing adoptio...
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02/02/2019