發(fā)布時間：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... 

【文章來源】：高等學校計算數學學報. 2020,42(03)北大核心CSCD

【文章頁數】：16 頁

【文章目錄】：
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


【參考文獻】：
期刊論文
[1]二維Lagrangian坐標系下可壓氣動方程組的間斷Petrov-Galerkin方法（英文）[J]. 趙國忠,蔚喜軍,郭懷民.  計算物理. 2017(03)
[2]Direct discontinuous Galerkin method for the generalized Burgers-Fisher equation[J]. 張榮培,張立偉.  Chinese Physics B. 2012(09)
[3]一維雙曲守恒律的龍格-庫塔控制體積間斷有限元方法[J]. 陳大偉,蔚喜軍.  計算物理. 2009(04)



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