| 四边形剖分下一类对称有限体格式的构造 |
| |
| 引用本文： | 聂存云,谭敏.四边形剖分下一类对称有限体格式的构造[J].山西师范大学学报,2005,19(1):19-22. |
| |
| 作者姓名： | 聂存云 谭敏 |
| |
| 作者单位： | 湖南工程学院数理系 湖南湘潭411101
(聂存云),湖南科技大学数学与计算科学学院 湖南湘潭411201(谭敏) |
| |
| 基金项目： | 湖南省教育厅资助科研项目(04C237) |
| |
| 摘 要： | 本文针对一类自共轭椭圆问题,在四边形网格剖分下,通过选取“verterx-centred”型控制体,利用有限体积元方法,构造了一类保对称的有限体格式,并将之转化为Galerkin变分形式.数值实验表明其误差均达到了饱和阶.由于格式对称,相应离散化系统可采用PCG等方法快速求解,从而提高了运算效率.另外,新格式对flux(流)函数具有超逼近性.
|
| 关 键 词： | 四边形网格剖分 保对称 有限体格式 误差饱和阶 超收敛 |
| 文章编号： | 1009-4490(2005)01-0019-04 |
| 修稿时间： | 2004年12月1日 |
A Kind of Symmetric Finte Volume Scheme under the Quadrangle Partition |
| |
| NIE Cun-yun,TAN Min.A Kind of Symmetric Finte Volume Scheme under the Quadrangle Partition[J].Journal of Shanxi Teachers University,2005,19(1):19-22. |
| |
| Authors: | NIE Cun-yun TAN Min |
| |
| Institution: | NIE Cun-yun~1,TAN Min~2 |
| |
| Abstract: | Aiming at a kind of self-adjoint elliptic problem, a preserving-symmetry finite volume scheme on quadrangle partition grids is established by choosing the "vertex-centred" type control volume and utilizing finite volume element methods in this paper, furthermore, it can be transformed into the Galerkin variation form. Some numerical experiments shows that it reaches the satured order of the error. Due to the symmetry of it, some fast linear solver, such as PCG, can be used to solve the corresponding discrete system, so that it advances the efficiency of operations. In addition, the scheme is super-approximated to the flux function. |
| |
| Keywords: | The quadrangle partition Preserving-symmetry Finite volume scheme Satured order of the error Super-convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
