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.
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.
出处
《应用数学》
CSCD
北大核心
2007年第4期791-800,共10页
Mathematica Applicata
基金
Supported by NNSF(10601022)
TianYuan Math fund( A0324652)
NSF of Inner Mongolia Autonomous Region(200607010106,200607010806)
513 and doctorate Funds of I.M.U.
关键词
KDV方程
混合间断有限元方法
特征线修正方法
带有对流项修正的特征线修正方法
KdV equation
Mixed discontinuous finite element method
Modified method of characteristics
Modified method of characteristics with adjusted advection
