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Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods [PDF]
Journal of Computational Physics, 2016 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. Due to page limitations, the overview focuses on a few related methods and is not
Chung, Eric +2 more
core +10 more sources
Adaptive Multiscale Model Reduction for Nonlinear Parabolic Equations Using GMsFEM [PDF]
Computational Science – ICCS 2020, 2020 14 pages.
Wang Y, Chung E, Fu S.
europepmc +6 more sources
Multiscale model reduction for incompressible flows [PDF]
Journal of Fluid Mechanics, 2023 We introduce a projection-based model reduction method that systematically accounts for nonlinear interactions between the resolved and unresolved scales of the flow in a low-dimensional dynamical systems model. The proposed method uses a separation of time scales between the resolved and subscale variables to derive a reduced-order model with cubic ...
Jared Callaham +2 more
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Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography [PDF]
Mathematics, 2020 In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov +4 more
doaj +2 more sources
Space-time multiscale model reduction for transport equations [PDF]
, 2018 In this paper, we propose a space-time GMsFEM for transport equations. Multiscale transport equations occur in many geoscientific applications, which include subsurface transport, atmospheric pollution transport, and so on. Most of existing multiscale approaches use spatial multiscale basis functions or upscaling, and there are very few works that ...
Eric T. Chung +2 more
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Model Order Reduction in Computational Multiscale Fracture Mechanics [PDF]
Key Engineering Materials, 2016 Nowadays, the model order reduction techniques have become an intensive research eld because of the increasing interest in the computational modeling of complex phenomena in multi-physic problems, and its conse- quent increment in high-computing demanding processes; it is well known that the availability of high-performance computing capacity is, in ...
M. Caicedo +3 more
openalex +7 more sources
Model Reduction for Multiscale Lithium-Ion Battery Simulation [PDF]
, 2016 In this contribution we are concerned with efficient model reduction for multiscale problems arising in lithium-ion battery modeling with spatially resolved porous electrodes.
A. Latz +15 more
core +2 more sources
Sensitivity analysis based dimension reduction of multiscale models [PDF]
Mathematics and Computers in Simulation, 2019 In this paper, the sensitivity analysis of a single scale model is employed in order to reduce the input dimensionality of the related multiscale model, in this way, improving the efficiency of its uncertainty estimation. The approach is illustrated with two examples: a reaction model and the standard Ornstein-Uhlenbeck process.
Anna Nikishova +2 more
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Re-iterated multiscale model reduction using the GMsFEM [PDF]
, 2016 Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective properties from these local solutions. In some cases, the solutions of local problems can be expensive to compute due to scale disparity. In this setting, one can basically apply a
Eric T. Chung +3 more
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High-performance model reduction procedures in multiscale simulations
High-Performance Model Reduction Procedures in Multiscale Simulations, 2012 Technological progress and discovery and mastery of increasingly sophisticated structural materials have been inexorably tied together since the dawn of history. In the present era — the so-called Space Age —-, the prevailing trend is to design and create new materials, or improved existing ones, by meticulously altering
J.A. Hernández +3 more
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