周期阻尼椭圆方程的双尺度有限元误差估计

The two-scale finite element error estimates for periodic damping elliptic differential equations

文章研究小周期孔洞区域中带阻尼项椭圆方程的双尺度有限元误差分析.在双尺度理论框架下,对小周期孔洞区域中带阻尼项的椭圆方程进行双尺度渐近展开,估计了渐近误差,设计了相应的双尺度有限元算法,并利用有限元的一般理论分析双尺度有限元算法的误差估计.

The two-scale finite element error estimates are analyzed for elliptic differential equations with damping terms in small periodic perforated domain. Based on two-scale method,the asymptotic expansion are discussed for the problem,the asymptotic expansion errors are estimated and the two-scale finite element algorithm are designed. Furthermore the corresponding two-scale finite errors are given.