Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

Multiscale Simulation for Highly Oscillatory Parabolic Model

Authors
Meiling Sun, Geliang Chen
Corresponding Author
Meiling Sun
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.17How to use a DOI?
Keywords
multiscale finite element method; parabolic model; singular perturbation; high oscillation; Euler backward difference
Abstract
A multiscale finite element simulation is presented to solve a parabolic problem efficiently. This parabolic model has highly oscillatory coefficient, which make the conventional methods expensive costs or bad behaviors. The new multiscale finite element scheme, whose multiscale basis functions may reflect the local strong oscillation, can acquire good simulation on the macroscopical scale. The Euler backward difference time discretization is applied. Our method just computes on the coarse grids and saves plenty of computer resources, and it obtains convergent and controllable errors with the time iterations.
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Proceedings
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.17How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Meiling Sun
AU  - Geliang Chen
PY  - 2015/08
DA  - 2015/08
TI  - Multiscale Simulation for Highly Oscillatory Parabolic Model
PB  - Atlantis Press
SP  - 75
EP  - 78
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.17
DO  - https://doi.org/10.2991/msam-15.2015.17
ID  - Sun2015/08
ER  -