非线性Sobolev-Galpern型湿气迁移方程的非协调类Carey元超收敛分析

Superconvergence Analysis of the Nonconforming Quasi-Carey Finite Element for Nonlinear Sobolev-Galpern Type Moisture Migration Equation

主要目的是将非协调类Carey元应用于非线性Sobolev-Galpern型湿气迁移方程.借助于单元的特殊性质(即在能量模意义下相容误差比插值误差高一阶)、线性三角元的高精度分析以及平均值技巧,得到了解的超逼近性质.进一步地利用插值后处理技术导出了整体超收敛结果.

The main aim of this paper is to apply the nonconforming quasi-Carey element to Sobolev-Galpern type nonlinear moisture migration equation. By use of the special property of the element, that is, the consistency error is one order higher than its interpolation error in the energy norm, the high accuracy analysis of linear triangular element and mean-value approach, the supercloseness is obtained. Furthermore, through interpolation post-processing technique, the global superconvergence result is derived.