学术
KdV方程的特征线混合间断有限元方法
文宗川[1] 郭彦[2] 梁静国[1] 李宏[2]
[1]哈尔滨工程大学经济管理学院,黑龙江哈尔滨150001 [2]内蒙古大学理工学院数学系,内蒙古呼和浩特010021
摘 要:
考虑KdV方程的两种特征线性混合间断有限元方法,一种方法建立在标准特征线修正方法的基础上,另一种方法是带有对流项修正的特征线修正方法.利用具有实际物理意义的特征线追踪技巧处理时间导数项和对流项,采用混合间断有限元方法处理三阶导数项,分别证明了两种方法有限元解的唯一性、稳定性和误差估计.[著者文摘]
关 键 词:
文章出处:
《应用数学》-2007年20卷4期 -791-800页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）04-0791-10
The Characteristic Mixed Discontinuous Finite Element Method for KdV Eqation
WEN ZONG-chuan（School of Economics and Management,Harbin Engineering University,Harbin 150001,China） GUO Yan（College of Sciences and Technology,Department of Mathematics,Neimongol University,Huhhot 010021,China） LIANG Jing-guo（School of Economics and Management,Harbin Engineering University,Harbin 150001,China） LI Hong（College of Sciences and Technology,Department of Mathematics,Neimongol University,Huhhot 010021,China）
Abstract:
Two characteristic mixed discontinuous finite element methods are introduced for KdV equation.The first method iS based on the standard modified method of characteristics（MMOC）.The second method is formulated using the modified method of characteristics with adjusted advection （MMOCAA）.The temporal differentiation and advection terms are treated by a physical,characteristic tracking technique.The third derivatives are discretized by mixed discontinuous finite element method.The uniqueness and stability for each method is obtained,and the error estimates are established respectively.[著者文摘]
Key words:
KdV equation;Mixed discontinuous finite element method;Modified method of characteristics;Modified method of characteristics with adjusted advection
基金资助:
Supported by NNSF（10601022）,TianYuan Math fund（A0324652）,NSF of Inner Mongolia Autonomous Region（200607010106,200607010806）,513 and doctorate Funds of I.M.U.
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