| 一阶非定常双曲问题的间断-差分流线扩散法及其误差估计 |
| |
| 引用本文： | 张阳.一阶非定常双曲问题的间断-差分流线扩散法及其误差估计[J].数值计算与计算机应用,2007,28(1):18-26. |
| |
| 作者姓名： | 张阳 |
| |
| 作者单位： | 南开大学数学科学学院,天津,300071 |
| |
| 摘 要： | 本文提出了求解一阶非定常双曲问题的一种新型有限元方法．间断-差分流线扩散法(DFDSD方法),建立了Euler型DFDSD格式,并对格式解的稳定性和收敛性进行了理论分析,最后给出了数值算例说明算法的有效性．
|
| 关 键 词： | 一阶双曲问题 流线扩散 间断有限元 |
| 修稿时间： | 2005年6月28日 |
THE DISCONTINUOUS FINITE DIFFERENCE STREAMLINE DIFFUSION METHOD FOR TIME DEPENDENT FIRST-ORDER HYPERBOLIC PROBLEM AND ITS ERRORESTIMATES |
| |
| Zhang Yan.THE DISCONTINUOUS FINITE DIFFERENCE STREAMLINE DIFFUSION METHOD FOR TIME DEPENDENT FIRST-ORDER HYPERBOLIC PROBLEM AND ITS ERRORESTIMATES[J].Journal on Numerical Methods and Computer Applications,2007,28(1):18-26. |
| |
| Authors: | Zhang Yan |
| |
| Abstract: | In this paper,a new finite element method,discontinuous finite difference streamline diffusion method is studied for first-order linear hyperbolic problems.A discontinuity-type explicit finite element scheme with artificial diffusion parameter is constructed,the stability and convergence in proper norm are established for the considered scheme.Finally,a numerical example is provided to show the highly efficiency of the new scheme. |
| |
| Keywords: | First-order hyperbolic problem Streamline diffusion Discontinuous finite element |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
