论文标题
重新审视定期媒体的多尺度有限元方法的错误估计
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited
论文作者
论文摘要
在假设系数是有界和可测量的假设下，我们将用于多尺度有限元法的最佳能量误差估计，该方法适用于具有快速振荡的周期性系数的椭圆系统的最佳能量误差估计。作为能量估计的副产品，我们在l $^{d/（d-1）} - $ norm中得出了收敛速度。
We derive the optimal energy error estimate for multiscale finite element method with oversampling technique applying to elliptic system with rapidly oscillating periodic coefficients under the assumption that the coefficients are bounded and measurable, which may admit rough microstructures. As a by-product of the energy estimate, we derive the rate of convergence in L$^{d/(d-1)}-$norm.
