Multiscale Simulation for Highly Oscillatory Parabolic Model
Meiling Sun, Geliang Chen · 2015
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.