Results 61 to 70 of about 190 (85)

Generalized multiscale finite element methods for space–time heterogeneous parabolic equations

, 2018
In this paper, we consider local multiscale model reduction for problems with multiple scales in space and time. We developed our approaches within the framework of the Generalized Multiscale Finite Element Method (GMsFEM) using space–time coarse cells ...
Efendiev, Yalchin R., Ye, Shuai, Chung, Eric T., Leung, Wing Tat   +3 more
core   +1 more source

An iterative constraint energy minimizing generalized multiscale finite element method for contact problem

This work presents an Iterative Constraint Energy Minimizing Generalized Multiscale Finite Element Method (ICEM-GMsFEM) for solving the contact problem with high contrast coefficients.
Ye, Changqing, Li, Zishang, Chung, Eric T.   +2 more
core  

Adaptivity and Online Basis Construction for Generalized Multiscale Finite Element Methods [PDF]

, 2018
Many problems in application involve media with multiple scale, for example, in composite materials, porous media. These problems are usually computationally challenging since fine grid computation is extremely expensive.
Leung, Wing Tat
core  

Model Reduction for Signorini Problem and Poroelasticity Problem

, 2023
The Signorini problem involves finding a solution to an elliptic partial differential equation with a nonlinear boundary condition known as the Signorini contact condition.
Su, Xin
core  

Topology optimization problems for the heat equation [PDF]

, 2019
En este trabajo, analizamos el rendimiento de los precondicionadores de dos niveles de Schwarz aplicados al problema de optimización topológica para la ecuación de calor.
Zambrano Garcés, Miguel Andrés
core  

Multilevel Uncertainty Quantification Techniques Using Multiscale Methods [PDF]

, 2016
In this dissertation, we focus on the uncertainty quanti cation problems in sub-surface ow models which can be computationally demanding because of the large number of unknowns in forward simulations.
Tan, Xiaosi
core  

Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media [PDF]

, 2017
Many problems in engineering and science are represented by nonlinear partial differential equations (PDEs) with high contrast parameters and multiple scales.
Alotibi, Manal Thawab A
core  

Profile of Thomas Y. Hou. [PDF]

Proc Natl Acad Sci U S A
Viegas J.
europepmc   +1 more source

Generalized multiscale finite element method for a nonlinear elastic strain-limiting Cosserat model

For nonlinear Cosserat elasticity, we consider multiscale methods in this paper. In particular, we explore the generalized multiscale finite element method (GMsFEM) to solve an isotropic Cosserat problem with strain-limiting property (ensuring bounded ...
Ammosov, Dmitry, Mai, Tina, Galvis, Juan
core  

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GMsFEM for selected applications

Applied Mathematical Sciences (Switzerland), 2023
Eric T Chung, Yalchin Efendiev, Thomas Y Hou   +2 more
exaly   +2 more sources