title: Two-scale curved element method for elliptic problems with small periodic coefficients
abstract: This paper is concerned with the second order elliptic problems with small periodic coefficients on a bounded domain with a curved boundary. A two-scale curved element method which couples linear elements and isoparametric elements is proposed. The error estimate is obtained over the given smooth domain. Furthermore an additive Schwarz method is provided for the isoparametric element method
keyphrases: two-scale curved element method elliptic problems small periodic coefficients second order elliptic problems bounded domain curved boundary linear elements isoparametric elements error estimate additive Schwarz method isoparametric element method