| 求解非结构四边形二次拉格朗日有限元方程的代数多重网格法 |
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| 引用本文： | 刘轩,孙杜杜,舒适. 求解非结构四边形二次拉格朗日有限元方程的代数多重网格法[J]. 湘潭大学自然科学学报, 2005, 27(3): 8-15 |
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| 作者姓名： | 刘轩 孙杜杜 舒适 |
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| 作者单位： | 湘潭大学数学与计算科学学院,湖南,湘潭,411105 |
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| 基金项目： | 国家自然科学基金委资助项目，中国物理工程研究院联合基金资助项目(10370031)，武器装备预研基金资助项目 |
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| 摘 要： | 针对一类带间断系数的椭圆边值问题,在非结构四边形部分下,讨论了两种二次拉格朗日有限元方程的代数多重网格法,通过利用双线性元和二次元基函数之间的表示关系,给出了一种新的网格粗化算法和构造提升算子的代数途径.数值实验表明:新的AMC法具有更好的“鲁棒”性和效率.
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| 关 键 词： | 代数多重网格法 四边形网格 二次拉格朗日有限元 |
| 文章编号： | 1000-5900（2005）03-0008-08 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2005-03-08 |
An Algebraic Multigrid Method of Quadratic Lagrangian Finite Element Equations Under the Unstructured Quadrilateral Grids |
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| Xuan Liu,Du-du Sun,Shi Shu. An Algebraic Multigrid Method of Quadratic Lagrangian Finite Element Equations Under the Unstructured Quadrilateral Grids[J]. Natural Science Journal of Xiangtan University, 2005, 27(3): 8-15 |
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| Authors: | Xuan Liu Du-du Sun Shi Shu |
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| Affiliation: | School of Mathematics and Computation Science, XiangtanUniversity, Xiangtan 411105 China |
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| Abstract: | For a class of Quadratic finite element discretization systems of an elliptic boundary problem with jump coefficients under the unstructured quadrilateral grids, we are concerned with two kinds of Quadratic Lagrangian finite element equations, by analyzing the relationship between the linear finite element and Quadratic finite element basis functions, a new AMC method is designed. The numerical results show that our new AMC method is more robust and efficient . |
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| Keywords: | algebraic multigrid method quadrilateral grids Quadratic Lagrangian finite element |
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