摘要
Burgers方程具有广泛的应用背景,近年来,对于带有更一般形式的对流项和扩散项的Burgers型方程的定性研究越来越多,但是相关数值解法的研究尚不多见。为了能够同时逼近未知函数、未知函数的梯度和通量,对一类拟线性Burgers型方程采用扩展混合元方法进行离散,构造了半离散扩展混合元格式,并给出了L2模误差估计结果。
Burgers equation has broad applicative background.More and more qualitative research of Burgers-type equation with the more general form of convection term and diffusion term is done,but the numerical method is rare.In order to approach unknown function,its gradient and its flux,the Expanded Mixed Finite Method for some quasilinear Burgers-type equation is considered.The semi-discrete form of expanded mixed finite element is constructed and optimal order estimates in L2-norms are obtained.
出处
《科学技术与工程》
北大核心
2012年第2期260-263,共4页
Science Technology and Engineering
基金
国家自然科学基金项目(10971254)
山东省自然科学基金(ZR2009AZ003)资助
关键词
Burgers型方程
扩展混合元
最优误差估计
Burgers-type equation expanded mixed finite element method optimal error estimate
