四边形网上抛物型方程有限体积元法的超收敛分析

摘要

Based on the linear finite volume element method for two-dimensional parabolic equations on quadrilateral meshes, the corresponding semi-discrete scheme and two fully discrete schemes of the overall superconvergence were presented. In addition, the superconvergence of value gradients at optimal stress points also was obtained.%基于四边形网上二维抛物型方程的线性有限体积元格式,给出了相应的半离散和2个全离散化格式的整体超收敛性以及在插值应力佳点上数值梯度的超收敛估计.