具有周期间断振荡系数抛物型方程的多尺度有限元法

Multiscale Finite Element Method for Parabolic Equations with Rapidly Oscillating Periodic Discontinuous Coefficients

针对一类具有周期间断振荡系数抛物型方程的初边值问题,提出了多尺度渐进展开式,在此基础上,发展了多尺度有限元方法,并给出相关的收敛性分析.数值计算结果表明该算法是有效的.

The initial-boundary value problems of parabolic equations with rapidly oscillating pe- riodic discontinuous coefficients are considered and the multiscale asymptotic method is developed in this paper. From this, the multiscale finite element method and the convergence analysis are derived. Numerical simulations are then carried out to validate the above theoretical results.