| 三维问题的一类对称有限体格式的构造 |
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| 引用本文： | 聂存云.三维问题的一类对称有限体格式的构造[J].湖南工程学院学报(自然科学版),2005,15(3):67-69. |
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| 作者姓名： | 聂存云 |
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| 作者单位： | 湖南工程学院,数理系,湖南,湘潭,411104 |
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| 摘 要： | 针对三维Poison问题,在四面体网格剖分下,利用线性有限元空间,并选取“vertex—centred”型控制体,从而构造了一类保对称的有限体格式,数值实验表明其误差的模达到了饱和阶,同时也表明了该格式对非一致网格有好的收敛精度和稳定性,由于格式对称,相应离散系统可采用PCG等方法快速求解,从而提高了运算效率。
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| 关 键 词： | 四面体网格剖分 对称 有限体格式 误差阶 |
| 文章编号： | 1671-119X(2005)03-0067-03 |
| 收稿时间： | 10 21 2004 12:00AM |
| 修稿时间： | 2004年10月21 |
A Kind of Symmetric Finite Volume Scheme for Three-dimension Problem |
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| NIE Cun-yun.A Kind of Symmetric Finite Volume Scheme for Three-dimension Problem[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2005,15(3):67-69. |
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| Authors: | NIE Cun-yun |
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| Abstract: | Aiming at Poisson problem under three-dimension situation,a symmetric finite volume scheme on tetrahedron partition grids is established by utilizing the linear elements in each element and choosing the "vertex-centred" type control volume in this paper.Some numerical experiments prove that it has the saturated-order in theoretic results.They also show that it is adaptive for non-uniform grids about convergence and stabilty.Due to the symmetry of it,some fast solvers,such as PCG,can be used to solve the corresponding discrete system,so that it advances the efficiency of operations. |
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| Keywords: | the tetrahedron partiton symmetry finite volume scheme order of error |
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