非线性抛物方程的一个新混合元格式的超收敛分析

Superconvergence Analysis of a New Mixed Finite Element Scheme for Nonlinear Parabolic Equations

摘要: 构造了非线性抛物方程的一个新的混合有限元格式.借助于高精度分析和插值后处理技巧,得到了半离散格式下原始变量和通量任意阶矩形有限元空间的超逼近及整体超收敛结果

Abstract: A new mixed finite element scheme was constructed for nonlinear parabolic equations. By means of high accuracy analysis and interpolation post processing techniques, the superclose and superconvergence results of original variable and flux in arbitrary order rectangular finite element space were obtained for the semidiscrete scheme.