| 非线性湿气迁移方程的非协调EQ_1~(rot)元的超收敛分析 |
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| 作者单位： | ;1.安阳工学院数理学院;2.平顶山学院数学与信息科学学院;3.郑州大学数学与统计学院 |
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| 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.
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| 关 键 词： | 非线性湿气迁移方程 EQrot1元 超逼近 超收敛 |
Superconvergence Analysis of the Nonconforming EQ_1~(rot) Element for Nonlinear Moisture Migration Equation |
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| Institution: | ,School of Mathematics and Physics,Anyang Institude of Technology,School of Mathematics and Information Science,Pingdingshan University,School of Mathematics and Statistics,Zhengzhou University |
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| Abstract: | The nonconforming EQ_1~(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 H~3(Ω);(II)the interpolation operator is equivalent to its Ritz-projection operator.Furthermore,through interpolation post-processing technique,the global superconvergence result was derived. |
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| Keywords: | nonlinear moisture migration equation EQrot1 element supercloseness superconvergence |
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