应用数学2007，Vol.20Issue(4)：791-800,10.
KdV方程的特征线混合间断有限元方法
The Characteristic Mixed Discontinuous Finite Element Method for KdV Eqation
摘要
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.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Key words
KdV equation/Mixed discontinuous finite element method/Modified method of characteristics/Modified method of characteristics with adjusted advection分类
数理科学引用本文复制引用
文宗川,郭彦,梁静国,李宏..KdV方程的特征线混合间断有限元方法[J].应用数学,2007,20(4):791-800,10.基金项目
Supported by NNSF(10601022),TianYuan Math fund(A0324652),NSF of Inner Mongolia Autonomous Region(200607010106,200607010806),513 and doctorate Funds of I.M.U. （10601022）
