| 基于弱Galerkin有限元离散的瀑布型多重网格算法 |
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| 引用本文： | 孙石.基于弱Galerkin有限元离散的瀑布型多重网格算法[J].同济大学学报(自然科学版),2017,45(6):0936. |
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| 作者姓名： | 孙石 |
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| 作者单位： | 同济大学 数学科学学院，上海 200092 |
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| 基金项目： | 国家自然科学基金(11101311)；中德教席基金(0900101021) |
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| 摘 要： | 针对二阶椭圆型偏微分方程,给出了基于弱Galerkin有限元离散的瀑布型多重网格算法的能量误差估计和计算复杂度分析.最后数值实验验证了理论分析的正确性.
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| 关 键 词： | 弱Galerkin有限元 瀑布型多重网格方法 二阶椭圆型偏微分方程 |
| 收稿时间： | 2016/8/26 0:00:00 |
| 修稿时间： | 2017/4/26 0:00:00 |
Cascadic Multigrid Algorithm Based on Weak Galerkin Finite Element Discretization |
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| SUN Shi.Cascadic Multigrid Algorithm Based on Weak Galerkin Finite Element Discretization[J].Journal of Tongji University(Natural Science),2017,45(6):0936. |
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| Authors: | SUN Shi |
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| Institution: | School of Mathematical Sciences, Tongji University, Shanghai 200092, China |
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| Abstract: | A cascadic multigrid algorithm based on the weak Galerkin finite element discretization was analyzed for the second order elliptic partial differential equations. The estimation of the error in energy norm and the analysis of computational complexity were given. Finally, numerical experiments were conducted to verify the theoretical results. |
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| Keywords: | weak Galerkin finite element cascadic multigrid method second order elliptic partial differential equations |
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