Numerical homogenization beyond scale separation
Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …
partial differential equations. It aims at reducing complex large-scale problems to simplified …
Multiscale hybrid-mixed method for the Stokes and Brinkman equations—the method
R Araya, C Harder, AH Poza, F Valentin - Computer Methods in Applied …, 2017 - Elsevier
The multiscale hybrid-mixed (MHM) method is extended to the Stokes and Brinkman
equations with highly heterogeneous coefficients. The approach is constructive. We first …
equations with highly heterogeneous coefficients. The approach is constructive. We first …
A Petrov–Galerkin reduced basis approximation of the Stokes equation in parameterized geometries
A Abdulle, O Budáč - Comptes …, 2015 - comptes-rendus.academie-sciences …
Pour que de telles méthodes soient efficaces, il est important que le système linéaire en
ligne soit de dimension aussi petite que possible, tout en étant bien conditionné …
ligne soit de dimension aussi petite que possible, tout en étant bien conditionné …
Homogenization of evolutionary Stokes–Cahn–Hilliard equations for two-phase porous media flow
Ľ Baňas, HS Mahato - Asymptotic Analysis, 2017 - content.iospress.com
We consider homogenization of a phase-field model for two-phase immiscible,
incompressible porous media flow with surface tension effects. The pore-scale model …
incompressible porous media flow with surface tension effects. The pore-scale model …
A reduced basis finite element heterogeneous multiscale method for Stokes flow in porous media
A Abdulle, O Budáč - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
A reduced basis Darcy–Stokes finite element heterogeneous multiscale method (RB-DS-FE-
HMM) is proposed for the Stokes problem in porous media. The multiscale method is based …
HMM) is proposed for the Stokes problem in porous media. The multiscale method is based …
Multiscale finite element method for Stokes-Darcy model
This paper explores the application of the multiscale finite element method (MsFEM) to
address steady-state Stokes-Darcy problems with BJS interface conditions in highly …
address steady-state Stokes-Darcy problems with BJS interface conditions in highly …
Comparison of Lattice Boltzmann and Boundary Element Methods for Stokes and Visco-Inertial Flow in a Two-Dimensional Porous Medium
In porous media, limitations imposed by macroscale laws can be avoided with a dual-scale
model, in which the pore-scale phenomena of interest are modelled directly over a large …
model, in which the pore-scale phenomena of interest are modelled directly over a large …
[引用][C] Reduced basis heterogeneous multiscale methods
A Abdulle - … Colloquium 559-Multi-scale computational methods …, 2015 - infoscience.epfl.ch
Numerical methods for partial differential equations with multiple scales that combine
numerical homogenization methods with reduced order modeling techniques are discussed …
numerical homogenization methods with reduced order modeling techniques are discussed …
Multiscale hybrid-mixed methods for the stokes and brinkman equations-a priori analysis
A Rodolfo, H Christopher, P Abner, F Valentin - 2024 - hal.science
The multiscale hybrid-mixed (MHM) method for the Stokes operator was formally introduced
in Araya at al.(2017) and numerically validated. The method has face degrees of freedom …
in Araya at al.(2017) and numerically validated. The method has face degrees of freedom …
非均质饱和多孔介质弹性固结和动力学行为的多尺度分析方法.
卢梦凯， 郑勇刚， 张洪武 - China Sciencepaper, 2016 - search.ebscohost.com
为了准确高效地求解非均质饱和多孔介质弹性固结与动力学问题, 提出了1
种广义耦合多尺度有限元方法. 多尺度数值基函数基于饱和多孔介质狌-狆形式控制方程离散后 …
种广义耦合多尺度有限元方法. 多尺度数值基函数基于饱和多孔介质狌-狆形式控制方程离散后 …