摘要
Infiniteelementanalysisoftransienttemperaturefield,itisquitenotoriousthatthenumericalsolutionmayquitelikelyoscillateand/orexceedtheredsonablescope,whichviolatesthenaturallawofheatconductionForthisreason,weputforwardtheconceptoftimemonotonyandspatialmonotonyandthenderiveseveralsufficientconditionsformonolonicsolutionsintimedimensionfor3-Dpassiveheatconductionequationswithagroupoffinitedifferenceschemes.Forsomespecialboundaryconditionsandregularelementmeshes,thelowerandupperboundsfor△t/△x~2canbeobtainedfromthoseconditionssothatreasonablenumericalsolutionsareguaranteed.Spatialmonotonyisalsodiscussed.Finally,thelumpedmassmethodisanalyzed.Wecreativelygiveseveralnewcriteriaforthefiniteelementsolutionsofaclassofparabolicequationrepresentedbyheatconductionequation.
出版日期
1989年12月22日（中国期刊网平台首次上网日期，不代表论文的发表时间）
