摘要
Burgers方程是一个双曲--抛物型方程,它描述物理问题的对流和耗散的综合过程,它兼有一阶波动方程和热传导方程的特性.Burgers方程也可以作为Navier-stokes方程的特例.因此,对Burgers方程的研究有非常重要的意义.本文针对一维Burgers方程,在传统混合方程组的基础上给出了一种最小二乘混合有限元格式,并给出了误差估计.
Having the characteristics of both first - order wave equation and heat conduction equation , Burgers equation describes the whole process of the convection and the diffusion in physics . Burgers equation can also be used as a special case of Navier - stokes equation. Therefore, the research on the burgers equation has a very important meaning. To the question of the one - dimensional Burgers equation, a least - squares mixed finite element scheme and the error estimate are presented based on the tradition al mixing equations in this paper.
出处
《内蒙古农业大学学报（自然科学版）》
CAS
北大核心
2013年第4期157-162,共6页
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
