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ERROR ESTIMATES OF GALERKIN METHOD FOR HIGH DIMENSIONAL STEADY STATE KURAMOTO-SIVASHINSKY EQUATION
作者姓名:李常品  杨忠华
作者单位:Deptartment of Mathematics,Deptartment of Mathematics,Shanghai Teachers University Shanghai University,Shanghai 200436,PRC,Shanghai 200234,PRC
基金项目:ProjectsupportedbytheNationalNaturalScienceFoundation (GrantNo. 1 9971 0 5 7)andbytheYouthScience FoundationofShanghaiMunicipalCommissionofEducation (GrantNo .99QA66)andbytheHPCfoundationofShanghai University (GrantNo .2 1 4 2 2 5 ) .
摘    要:1 IntroductionInthepaper,weconsiderthefollowingK -Sequation (forexample,see 1 ] -3]andreferencestherein)inspacedimension≥ 3:Δ2 u+Δu+ 12 | u|2 -12 Ni=1li∫IN| u|2 dx=0 ,x∈IN,(1 )withL periodicboundaryconditions,L =(l1,l2 ,… ,lN)beingthesizeofatypicalpatterncell (alsobifurcationpar…


ERROR ESTIMATES OF GALERKIN METHOD FOR HIGH DIMENSIONAL STEADY STATE KURAMOTO-SIVASHINSKY EQUATION
Li Changpin Yang Zhonghua Deptartment of Mathematics,Shanghai University,Shanghai ,PRC.Deptartment of Mathematics,Shanghai Teachers University,Shanghai ,PRC..ERROR ESTIMATES OF GALERKIN METHOD FOR HIGH DIMENSIONAL STEADY STATE KURAMOTO-SIVASHINSKY EQUATION[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(2):129-136.
Authors:Li Changpin Yang Zhonghua Deptartment of Mathematics  Shanghai University  Shanghai  PRCDeptartment of Mathematics  Shanghai Teachers University  Shanghai  PRC
Institution:1. Deptartment of Mathematics, Shanghai University, Shanghai 200436,PRC
2. Deptartment of Mathematics, Shanghai Teachers University,Shanghai 200234, PRC
Abstract:Error estimates of Galerkin method for Kuramoto-Sivashingsky (K-S) equation inspace dimension ≥3 are derived in the paper. These results furnish strong evidence for the com-putation of the solutions.
Keywords:K-S equation  Galerkin method  error estimate  
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