非线性Sobolev方程的经济型差分-流线扩散非协调有限元法

数学物理学报 ›› 2013, Vol. 33 ›› Issue (6): 1148-1161.

非线性Sobolev方程的经济型差分-流线扩散非协调有限元法

石东洋¹|王海红²

1.郑州大学数学系郑州 450052|
2.河南财经政法大学数学与信息科学系郑州 450002

收稿日期:2012-06-15 修回日期:2013-05-09 出版日期:2013-12-25 发布日期:2013-12-25
基金资助:
国家自然科学基金(10971203, 11271340, 61143002, 61203050)资助

The Economical Difference-Streamline Diffusion Nonconforming Finite Method for a Class of Sobolev Equations with Convection-dominated Term

SHI Dong-Yang¹, WANG Hai-Hong²

1.Department of Mathematics, Zhengzhou University, Zhengzhou 450052;
2.Department of Mathematical and Information Scientific, Henan University of Economics and Low, Zhengzhou |450002

Received:2012-06-15 Revised:2013-05-09 Online:2013-12-25 Published:2013-12-25
Supported by:
国家自然科学基金(10971203, 11271340, 61143002, 61203050)资助

摘要/Abstract

摘要：

研究了一类对流占优非线性Sobolev 方程的经济型差分-流线扩散非协调有限元方法. 分别给出了 Euler-EFDSD 和Crank-Nicolson-EFDSD 格式的最优误差估计, 从而发展和完善了以往文献的结果.

关键词: 对流占优, 非线性Sobolev方程, 经济型FDSD非协调有限元方法

Abstract:

The economical difference-streamline diffusion nonconforming finite element method for a class of Sobolev equations with convection-dominated term is studied. The optimal error estimates of Euler-EFDSD scheme and Crank-Nicolson-EFDSD scheme are presented, respectively, which will expand and improve the results in the previous literature.

Key words: Convection-dominated term, Nonlinear Sobolev equations, Economical difference-streamline diffusion nonconforming finite element method

中图分类号:

65N15

石东洋, 王海红. 非线性Sobolev方程的经济型差分-流线扩散非协调有限元法[J]. 数学物理学报, 2013, 33(6): 1148-1161.

SHI Dong-Yang, WANG Hai-Hong. The Economical Difference-Streamline Diffusion Nonconforming Finite Method for a Class of Sobolev Equations with Convection-dominated Term[J]. Acta mathematica scientia,Series A, 2013, 33(6): 1148-1161.

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