摘要
An initial-boundary value problem for shallow equation system consisting of water dynamics equations,silt transport equation, the equation of bottom topography change,and of some boundary and initial conditions is studied, the existence of its generalized solution and semidiscrete mixed finite element(MFE) solution was discussed, and the error estimates of the semidiscrete MFE solution was derived.The error estimates are optimal.
An initial-boundary value problem for shallow equation system consisting of water dynamics equations,silt transport equation, the equation of bottom topography change,and of some boundary and initial conditions is studied, the existence of its generalized solution and semidiscrete mixed finite element(MFE) solution was discussed, and the error estimates of the semidiscrete MFE solution was derived.The error estimates are optimal.
基金
theNationalNaturalScienceFoundationofChina(10071052,49776283)
theOutstandingYoungScientistFundofChina(40225015)
the"PlanofHundredTalents"ofChineseAcademyofSciences
theBeijingExcellentTalentSpecialFoundat
the"9.5"KeyProjectFoundationofChineseAcademyof
