MultiScale Asymptotic Analysis Method with High Accuracy for the Second Order Elliptic Equation with Oscillating Periodic Coefficients in Perforated Domain
National Nature Science of China [10671065]; Science Foundation of Central South University of Forestry and Technology [06Y048]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
We consider the Neumman boundary value problem of second order elliptic equation with oscillating periodic coefficients in perforated domains. It is very difficult to solve the problem by using numerical methods directly, such as finite element method and finite difference method, due to the huge computing scaling. Using homogenization method, two-scale asymptotic expansion and projective interpolation, a high accuracy algorithm and its error estimate are reported. The rigorous proofs of the results are proposed. ...