A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence

نویسندگان

  • SHI SHU
  • HAIYUAN YU
  • YUNQING HUANG
  • CUNYUN NIE
  • Aihui Zhou
  • Xiuling Ma
چکیده

A symmetric finite volume element scheme on quadrilateral grids is established for a class of elliptic problems. The asymptotic error expansion of finite volume element approximation is obtained under rectangle grids, which in turn yields the error estimates and superconvergence of the averaged derivatives. Numerical examples confirm our theoretical analysis.

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تاریخ انتشار 2005