| 一类非线性Sobolev-Galpern型湿气迁移方程双线性元的超收敛和外推 |
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| 作者单位： | ;1.平顶山学院数学与信息科学学院 |
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| 摘 要： | 主要讨论了一类非线性Sobolev-Galpern型湿气迁移方程的双线性元逼近,利用积分恒等式和平均值技巧,导出了H1模意义下O(h2)阶的超逼近性质.同时借助于插值后处理技术,给出了整体超收敛结果.在此基础上,通过构造合适的外推格式,得到了具有O(h3)阶的近似解.
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| 关 键 词： | 非线性湿气迁移方程 双线性元 超收敛 外推 |
Superconvergence and Extrapolation of Bilinear FiniteElement Method for A kind of Nonlinear Sobolev-Galpern TypeEquations of Moisture Migration |
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| Institution: | ,School of Mathematics and Information Science,Pingdingshan University |
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| Abstract: | In this paper,the approximation of bilinear finite element for a kind of nonlinear Sobolev-Galpern type equations of moisture migration is discussed.By use ofthe integral identities and the mean value technique,the superclose property of order O(h2)in H1-norm is obtained.A global super-convergence result is derived by interpolatedpost-processing method.Then higher accuracy of order O(h3)for approximation solution is given by constructing aproper extrapolation scheme. |
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| Keywords: | nonlinear Sobolev-Galperntype equations bilinear element superconvergence extrapolation |
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