Article (Preprint) (4.7 MB) - 
Free access
Highlights
More informations
Home
Titles listLinearized numerical homogenization method for nonlinear monotone parabolic multiscale problems
Titles listLinearized numerical homogenization method for nonlinear monotone parabolic multiscale problems
Scientific Article
unige:79120 
 |
Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems |
|
| Authors | ||
| Published in | Multiscale Modeling and Simulation. 2015, vol. 13, no. 3, p. 916–952 | |
| Abstract | We introduce and analyze an efficient numerical homogenization method for a class of nonlinear parabolic problems of monotone type in highly oscillatory media. The new scheme avoids costly Newton iterations and is linear at both the macroscopic and the microscopic scales. It can be interpreted as a linearized version of a standard nonlinear homogenization method. We prove the stability of the method and derive optimal a priori error estimates which are fully discrete in time and space. Numerical experiments confirm the error bounds and illustrate the efficiency of the method for various nonlinear problems. | |
| Keywords | Monotone parabolic multiscale problem — Linearized scheme — Numerical homogenization method — Fully discrete a priori error estimates | |
| Identifiers | DOI: 10.1137/140975504 | |
| Full text | ||
| Structures | ||
| Research group | Analyse numérique | |
| Project | FNS: 200020144313/1. | |
| Citation (ISO format) | ABDULLE, Assyr, HUBER, Martin, VILMART, Gilles. Linearized numerical homogenization method for nonlinear monotone parabolic multiscale problems. In: Multiscale Modeling and Simulation, 2015, vol. 13, n° 3, p. 916–952. https://archive-ouverte.unige.ch/unige:79120 |
245 hits 
56 downloads 
Contact an author
Update