求解广义Burgers-Huxley方程和广义Burgers-Fisher方程的一类局部间断Petrov-Galerkin方法研究

• 作者: 田兵 赵国忠 郭怀民 郭鹏云
• 来源期刊: 高等学校计算数学学报
• 学科: 数学
• 年，卷（期）: 2020,（3）
• 页码范围: 193-208
• 页数: 16页
• 分类号: O241.82
• 语种: 中文

摘要

In this paper,we proposed a local discontinuous Petrov-Galerkin method for the generalized Burgers-Huxley equation and the generalized BurgersFisher equation.The stability analysis of the method is derived for two special cases.The method can choose different trial and test function spaces and preserve the advantage of discontinuous finite element method.Furthermore,the method is easier to accomplished since its computational formula is simpler than the local discontinuous Galerkin method when test function space is chosen as piecewise constant space.Several examples with various parameters are chosen to show the performance of the method.

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	赵国忠		44	41	4.0	5.0
2	郭怀民		35	75	5.0	7.0
3	田兵		30	42	3.0	6.0
4	郭鹏云		28	11	2.0	3.0