Multiscale Simulation for Highly Oscillatory Parabolic Model

DOI

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Meiling Sun
AU  - Geliang Chen
PY  - 2015/08
DA  - 2015/08
TI  - Multiscale Simulation for Highly Oscillatory Parabolic Model
BT  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 75
EP  - 78
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.17
DO  - 10.2991/msam-15.2015.17
ID  - Sun2015/08
ER  -