| 半线性Sobolev方程的H~1-Galerkin混合有限元方法 |
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| 引用本文： | 曹京平,李琳琳.半线性Sobolev方程的H~1-Galerkin混合有限元方法[J].数学的实践与认识,2011,41(22). |
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| 作者姓名： | 曹京平 李琳琳 |
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| 作者单位： | 内蒙古财经学院 统计与数学学院,内蒙古 呼和浩特,010070 |
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| 基金项目： | 内蒙古教育厅自然科学基金资助项目(NJZY11105) |
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| 摘 要： | 利用H~1-Galerkin混合有限元方法研究了一维半线性Sobolev方程,得到了半离散解的最优阶误差估计,优点是不需验证LBB相容性条件.
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| 关 键 词： | Sobolev方程 半线性 H~1-Galerkin混合有限元方法 最优阶误差估计 |
H~1-Galerkin Mixed Finite Elemen Method for Semilinear Sobolev Equation |
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| CAO Jing-ping,LI Lin-lin.H~1-Galerkin Mixed Finite Elemen Method for Semilinear Sobolev Equation[J].Mathematics in Practice and Theory,2011,41(22). |
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| Authors: | CAO Jing-ping LI Lin-lin |
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| Institution: | CAO Jing-ping,LI Lin-lin (School of Statistics and Mathematics,Inner Mongolia Finance and Economics College,Hohhot 010070,China) |
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| Abstract: | H~1-Galerkin mixed finite element methods are studied for semilinear sobolev equations.Optimal order error estimates are obtained for the semi-discrete solutions.The main feature of this method is that the approximations have the same rate convergence as in the classical mixed finite element methods without the LBB consistency conditions. |
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| Keywords: | Sobolev equation Semilinear H~1-Galerkin mixed finite element methods optimal order error estimate |
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