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．
In this paper, a new finite element streamline diffusion method is studied for method, discontinuous finite difference 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.
出处
《数值计算与计算机应用》
CSCD
2007年第1期18-26,共9页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金资助(项目编号:103016).
