| 一类拟线性Burgers型方程的扩展混合元方法 |
| |
| 引用本文： | 颜峰.一类拟线性Burgers型方程的扩展混合元方法[J].科学技术与工程,2012,12(2):260-263. |
| |
| 作者姓名： | 颜峰 |
| |
| 作者单位： | 山东师范大学数学科学学院,济南,250014 |
| |
| 基金项目： | 国家自然科学基金项目，山东省自然科学基金 |
| |
| 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.
|
| 关 键 词： | Burgers型方程 扩展混合元 最优误差估计 |
| 收稿时间： | 2011/10/18 0:00:00 |
| 修稿时间： | 11/1/2011 4:23:58 PM |
Expanded Mixed Finite Element Methods For Some Quasiliner Burgers-type Equation |
| |
| yanfeng.Expanded Mixed Finite Element Methods For Some Quasiliner Burgers-type Equation[J].Science Technology and Engineering,2012,12(2):260-263. |
| |
| Authors: | yanfeng |
| |
| Institution: | (Department of Mathematics,Shandong Normal University,Jinan 250014,P.R.China) |
| |
| Abstract: | Burgers equation has broad applicative background. The qualitative research of Burgers-type equation with the more general form of convection term and diffusion term, 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. |
| |
| Keywords: | Burgers-type equation expanded mixed finite element method optimal error estimate |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《科学技术与工程》浏览原始摘要信息 |
| 点击此处可从《科学技术与工程》下载免费的PDF全文 |
|
