摘要
Inthispaper,finitevolumemethodonunstructuredmeshesisstudiedforaparabolicconvection-diffusionproblemonanopenboundedsetofR^d(d=2or3)withRobinboundarycondition.UpwindingapproximationsareadaptedtotreatboththeconvectiontermandRobinboundarycondition.Bydirectlygettingstartfromtheformulationofthefinitevolumescheme,numericalanalysisisdone.Byusingseveraldiscretefunctionalanalysistechniquessuchassummationbyparts,discretenorminequality,etal,thestabilityanderrorestimatesontheapproximatesolutionareestablished,existenceanduniquenessoftheapproximatesolutionandthe1stordertemporalnormandL^2andH^1spacialnormconvergencepropertiesareobtained.
出版日期
2005年02月12日(中国期刊网平台首次上网日期,不代表论文的发表时间)