求解广义Burgers-Huxley方程和广义Burgers-Fisher方程的一类局部间断Petrov-Galerki

发布时间：2022-01-27 19:05

　　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 t... 

【文章来源】：高等学校计算数学学报. 2020,42(03)北大核心CSCD

【文章页数】：16 页

【文章目录】：
1 Introduction
2 Discontinuous Petrov-Galerkin method for generalized Burgers-Huxley and Burgers-Fisher equations
    2.1 Spatial discretization
        2.1.1 Semi-discrete scheme for the first case
        2.1.2 Semi-discrete scheme for the second case
    2.2 Time discretization
3 Numerical results
4 Conclusions


【参考文献】：
期刊论文
[1]二维Lagrangian坐标系下可压气动方程组的间断Petrov-Galerkin方法（英文）[J]. 赵国忠,蔚喜军,郭怀民.  计算物理. 2017(03)
[2]Direct discontinuous Galerkin method for the generalized Burgers-Fisher equation[J]. 张荣培,张立伟.  Chinese Physics B. 2012(09)
[3]一维双曲守恒律的龙格-库塔控制体积间断有限元方法[J]. 陈大伟,蔚喜军.  计算物理. 2009(04)



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