关键词: 抛物型方程, 应力佳点, 有限体积元法, 超收敛

Abstract:

As for the linear finite volume element schemes for parabolic problems on triangulation, we proved that the superconvergence property held for the semidiscrete scheme and fully discrete scheme. Furthermore, the superconvergence of numerical gradients at optimal stress points was obtained. Finally numerical example was presented to confirm our  theoretical results.

Key words:  parabolic problem, optimal stress point, finite volume element method, superconvergence