具有局部周期结构的椭圆问题的有限元方法

摘要

In this paper, the corresponding finite element method by means of multi-scale asymptotic expansion approach is analyzed to solve the second-order elliptic problems with local periodic structure. By estimating the classical boundary correction factor, the higher order approximate solutions were obtained.%对于具有局部周期结构的二阶椭圆问题，利用多尺度渐进展开方法给出了对应的有限元算法。通过对经典边界校正因子的估计，得出了精度较高的近似解。