简介:ACLASSOFSINGULARLYPERTURBEDNONLINEARROBINPROBLEMSZhaoWeili(赵为礼)(DepartmentofMathematics.JilinUniversity,Changchun130023,China...
简介:Inthispaper,finitevolumemethodonunstructuredmeshesisstudiedforaparabolicconvection-diffusionproblemonanopenboundedsetofR^d(d=2or3)withRobinboundarycondition.UpwindingapproximationsareadaptedtotreatboththeconvectiontermandRobinboundarycondition.Bydirectlygettingstartfromtheformulationofthefinitevolumescheme,numericalanalysisisdone.Byusingseveraldiscretefunctionalanalysistechniquessuchassummationbyparts,discretenorminequality,etal,thestabilityanderrorestimatesontheapproximatesolutionareestablished,existenceanduniquenessoftheapproximatesolutionandthe1stordertemporalnormandL^2andH^1spacialnormconvergencepropertiesareobtained.
简介:Inthispaper,asingularlyperturbedRobintypeboundaryvalueproblemforsecond-orderordinarydifferentialequationwithdiscontinuousconvectioncoefficientandsourcetermisconsidered.Arobust-layer-resolvingnumericalmethodisproposed.Anε-uniformglobalerrorestimateforthenumericalsolutionandalsotothenumericalderivativeareestablished.Numericalresultsarepresented,whichareinagreementwiththetheoreticalpredictions.