| 二维热传导方程的局部间断Galerkin有限元方法 |
| |
| 引用本文： | 张荣培,王荣荣.二维热传导方程的局部间断Galerkin有限元方法[J].辽宁石油化工大学学报,2012(2):88-90,94. |
| |
| 作者姓名： | 张荣培 王荣荣 |
| |
| 作者单位： | 辽宁石油化工大学理学院;辽宁石油化工大学职业技术学院 |
| |
| 摘 要： | 讨论了局部间断Galerkin有限元方法求解二维热传导方程。通过引入辅助变量将含有二阶导数的热传导方程重新写为一阶偏微分方程组,在空间上用间断有限元离散得到一组常微分方程组,在时间上用显式方法离散,最终给出数值算例验证了该方法的收敛精度。
|
| 关 键 词： | 二维热传导方程 局部间断Galerkin方法 非结构网格 |
Local Discontinuous Galerkin Method for the Two-Dimensional Heat Equation |
| |
| ZHANG Rong-pei,WANG Rong-rong.Local Discontinuous Galerkin Method for the Two-Dimensional Heat Equation[J].Journal of Liaoning University of Petroleum & Chemical Technology,2012(2):88-90,94. |
| |
| Authors: | ZHANG Rong-pei WANG Rong-rong |
| |
| Affiliation: | 1.College of Sciences,Liaoning Shihua University,Fushun Liaoning 113001,P.R.China;2.School of Vocational Technology,Liaoning Shihua University,Fushun Liaoning 113001,P.R.China)Received 21 April 2011;revised 12 December 2011;accepted 1 March 2012 |
| |
| Abstract: | The local discontinuous Galerkin method for the two-dimensional equation was introduced.By introducing the auxiliary variable,the second derivative heat conduction equation equations were rewritten into first-order partial differential equations,then the discontinuous Galerkin method was applied to the system.Finally the method yields ordinary differential equations systems.The explicit method was used for the time discretization.The numerical experiments were presented to verify the accuracy of the method. |
| |
| Keywords: | Two-dimensional heat equation Local discontinuous Galerkin method Unstructured meshes |
| 本文献已被 CNKI 等数据库收录！ |
