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 …

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 …

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 …

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 …

We propose a multiscale finite volume method (MSFV) for simulation of coupled flow-
deformation in heterogeneous porous media under elastic deformation (ie, poroelastic …

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 …

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 …

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 …

In this paper, we develop efficient multiscale methods for flows in heterogeneous media. We
use the generalized multiscale finite element (GMsFEM) framework. GMsFEM approximates …

Complex processes in perforated domains occur in many real-world applications. These
problems are typically characterized by physical processes in domains with multiple scales …