A multi-stage deep learning based algorithm for multiscale model reduction

Constraint-aware neural networks for Riemann problems

(2020) Jim Magiera et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations

(2020) Zecheng Zhang et al.   Mathematics

Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism

(2020) Qian Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Learning macroscopic parameters in nonlinear multiscale simulations using nonlocal multicontinua upscaling techniques

(2020) Maria Vasilyeva et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Machine learning of multiscale active force generation models for the efficient simulation of cardiac electromechanics

(2020) F. Regazzoni et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Reduced-order Deep Learning for Flow Dynamics. The interplay between deep learning and model reduction

(2019) Siu Wun Cheung et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Deep multiscale model learning

(2019) Yating Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Deep global model reduction learning in porous media flow simulation

(2019) Siu Wun Cheung et al.   COMPUTATIONAL GEOSCIENCES

Constraint Energy Minimizing Generalized Multiscale Finite Element Method

(2018) Eric T. Chung et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning

(2018) Kun Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

SegNet: A Deep Convolutional Encoder-Decoder Architecture for Image Segmentation

(2017) Vijay Badrinarayanan et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Image Super-Resolution Using Deep Convolutional Networks

(2016) Chao Dong et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Mixed GMsFEM for second order elliptic problem in perforated domains

(2016) Eric T. Chung et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods

(2016) Eric Chung et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Randomized Oversampling for Generalized Multiscale Finite Element Methods

(2016) Victor M. Calo et al.   MULTISCALE MODELING & SIMULATION

Generalized multiscale finite element methods for problems in perforated heterogeneous domains

(2015) Eric T. Chung et al.   APPLICABLE ANALYSIS

Residual-driven online generalized multiscale finite element methods

(2015) Eric T. Chung et al.   JOURNAL OF COMPUTATIONAL PHYSICS

GENERALIZED MULTISCALE FINITE ELEMENT METHODS: OVERSAMPLING STRATEGIES

(2014) Yalchin Efendiev et al.   International Journal for Multiscale Computational Engineering

Multiscale empirical interpolation for solving nonlinear PDEs

(2014) Victor M. Calo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Generalized Multiscale Finite Element Methods for Wave Propagation in Heterogeneous Media

(2014) Eric T. Chung et al.   MULTISCALE MODELING & SIMULATION

Generalized multiscale finite element method. Symmetric interior penalty coupling

(2013) Y. Efendiev et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Generalized multiscale finite element methods (GMsFEM)

(2013) Yalchin Efendiev et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Reduced-Contrast Approximations for High-Contrast Multiscale Flow Problems

(2010) Eric T. Chung et al.   MULTISCALE MODELING & SIMULATION