The role of numerical integration in numerical homogenization
A Abdulle - ESAIM: Proceedings and Surveys, 2015 - esaim-proc.org
Finite elements methods (FEMs) with numerical integration play a central role in numerical
homogenization methods for partial differential equations with multiple scales, as the …
homogenization methods for partial differential equations with multiple scales, as the …
Multiscale adaptive method for Stokes flow in heterogenenous media
A Abdulle, O Budáč - … -ENUMATH 2013: Proceedings of ENUMATH 2013 …, 2014 - Springer
We present a multiscale micro-macro method for the Stokes problem in heterogeneous
media. The macroscopic method discretizes a Darcy problem on a coarse mesh with …
media. The macroscopic method discretizes a Darcy problem on a coarse mesh with …
Reduced order modeling techniques for numerical homogenization methods applied to linear and nonlinear multiscale problems
Y Bai - 2013 - infoscience.epfl.ch
The characteristic of effective properties of physical processes in heterogeneous media is a
basic modeling and computational problem for many applications. As standard numerical …
basic modeling and computational problem for many applications. As standard numerical …
[PDF][PDF] Numerical techniques for differential equations with multiple scales in space or time
A Abdulle - Oberwolfach Report, 2014 - infoscience.epfl.ch
In this report we discuss recently developed numerical methods for multiscale problems in
time (a numerical integrator for stiff advection-diffusion-reaction equations with or without …
time (a numerical integrator for stiff advection-diffusion-reaction equations with or without …