摘要
将EQ_1^(rot)非协调元应用于非线性Sobolev-Galpern型湿气迁移方程.利用平均值技巧及EQ_1^(rot)元的两个特殊性质:(I)当精确解属于H^3(Ω)时,在能量模意义下其相容误差比插值误差高一阶;(II)其插值算子与Ritz投影算子等价,得到了解的超逼近性质.进而,借助于插值后处理技术,导出了整体超收敛结果.
The nonconforming EQ1^rot element was applied to a kind of nonlinear moisture migration equation. The supercloseness property was obtained by using mean-value approach and two special properties of this element: (I) the consistency error is one order higher than its interpolation error in the energy norm when the exact solution belongs to H3 (O) ; (II) the interpolation operator is equivalent to its Ritz-projection operator. Fur- thermore, through interpolation post-processing technique, the global superconvergence result was derived.
出处
《信阳师范学院学报(自然科学版)》
CAS
北大核心
2016年第1期1-4,共4页
Journal of Xinyang Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11271340
1101381)
安阳工学院2015年度青年科研基金(QJJ2015024)
关键词
非线性湿气迁移方程
EQr^ot1元
超逼近
超收敛
nonlinear moisture migration equation
EQ1^rot' element
supereloseness
superconvergenee