[HTML][HTML] The Dune framework: Basic concepts and recent developments
This paper presents the basic concepts and the module structure of the Distributed and
Unified Numerics Environment and reflects on recent developments and general changes …
Unified Numerics Environment and reflects on recent developments and general changes …
Adaptive multiscale model reduction with generalized multiscale finite element methods
In this paper, we discuss a general multiscale model reduction framework based on
multiscale finite element methods. We give a brief overview of related multiscale methods …
multiscale finite element methods. We give a brief overview of related multiscale methods …
Constraint energy minimizing generalized multiscale finite element method
In this paper, we propose Constraint Energy Minimizing Generalized Multiscale Finite
Element Method (CEM-GMsFEM). The main goal of this paper is to design multiscale basis …
Element Method (CEM-GMsFEM). The main goal of this paper is to design multiscale basis …
Mixed generalized multiscale finite element methods and applications
In this paper, we present a mixed generalized multiscale finite element method (GMsFEM)
for solving flow in heterogeneous media. Our approach constructs multiscale basis functions …
for solving flow in heterogeneous media. Our approach constructs multiscale basis functions …
Multiscale finite volume method for finite-volume-based simulation of poroelasticity
I Sokolova, MG Bastisya, H Hajibeygi - Journal of Computational Physics, 2019 - Elsevier
We propose a multiscale finite volume method (MSFV) for simulation of coupled flow-
deformation in heterogeneous porous media under elastic deformation (ie, poroelastic …
deformation in heterogeneous porous media under elastic deformation (ie, poroelastic …
Deep multiscale model learning
The objective of this paper is to design novel multi-layer neural networks for multiscale
simulations of flows taking into account the observed fine data and physical modeling …
simulations of flows taking into account the observed fine data and physical modeling …
Residual-driven online generalized multiscale finite element methods
The construction of local reduced-order models via multiscale basis functions has been an
area of active research. In this paper, we propose online multiscale basis functions which …
area of active research. In this paper, we propose online multiscale basis functions which …
Efficient deep learning techniques for multiphase flow simulation in heterogeneous porousc media
We present efficient deep learning techniques for approximating flow and transport
equations for both single phase and two-phase flow problems. The proposed methods take …
equations for both single phase and two-phase flow problems. The proposed methods take …
Randomized oversampling for generalized multiscale finite element methods
In this paper, we develop efficient multiscale methods for flows in heterogeneous media. We
use the generalized multiscale finite element (GMsFEM) framework. GMsFEM approximates …
use the generalized multiscale finite element (GMsFEM) framework. GMsFEM approximates …
Generalized multiscale finite element methods for problems in perforated heterogeneous domains
Complex processes in perforated domains occur in many real-world applications. These
problems are typically characterized by physical processes in domains with multiple scales …
problems are typically characterized by physical processes in domains with multiple scales …