| Sobolev方程H1-Galerkin混合有限元全离散分析 |
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| 引用本文： | 原华丽.Sobolev方程H1-Galerkin混合有限元全离散分析[J].烟台大学学报(自然科学与工程版),2006,19(1):16-19. |
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| 作者姓名： | 原华丽 |
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| 作者单位： | 烟台大学,数学与信息科学系,山东,烟台,264005 |
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| 摘 要： | 讨论了Sobolev方程初边值问题全离散化的H^1-Galerkin混合有限元解的误差估计．在处理解的误差估计时，通常采用Galerkin-有限元法或混合有限元法．本文采用日H^1-Galerkin混合有限元法，给出了Sobolev方程初边值问题的H^1-Galerkin混合看限元法全离散数值格式，得到了关于未知函数及其伴随向量函数H^1-Galerkin混合有限元解与真解的H^1模最优阶误差估计．
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| 关 键 词： | Sobolev方程 H1-Galerkin混合有限元法 全散离格式 误差分析 |
| 文章编号： | 1004-8820（2006）01-0016-04 |
| 收稿时间： | 2005-04-20 |
| 修稿时间： | 2005-04-20 |
Discrete-time H1-Galerkin Mixed Finite Element Analysis for Sobolev Equation |
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| YUAN Hua-li.Discrete-time H1-Galerkin Mixed Finite Element Analysis for Sobolev Equation[J].Journal of Yantai University(Natural Science and Engineering edirion),2006,19(1):16-19. |
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| Authors: | YUAN Hua-li |
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| Affiliation: | Department of Mathematics and Informational Science, Yantai University, Yantai 264005, China |
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| Abstract: | A fully discrete error estimate of H^1-Galerkin mixed finite element methods for the Sobolev equation is discussed . To deal with the error estimate problem, Galerkin finite element method or Galerkin mixed finite element method is usually used. In this paper, the H^1-Galerkin mixed finite element method is used. A fully discrete scheme of H^1-Galerkin mixed finite element methods for the Sobolev equation is derived, and the optimal error estimates for the unknown function and its gradient in H^1-norm are obtained. |
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| Keywords: | Sobolev equation H^1-Galerkin mixed finite element method discrete-time scheme error estimates |
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