二維非光滑問題的有限元外推及重構(gòu).pdf

1、湖南師范大學(xué)碩士學(xué)位論文二維非光滑問題的有限元外推及重構(gòu)姓名：許賽華申請學(xué)位級別：碩士專業(yè)：基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：孟令雄20090901高校教師在職碩士學(xué)位論文ABSTRACTThesuperconvergenceofthefiniteelementhasbeenstudiedformorethan30vears，therearestillmanyunresolvedissuesoffiniteelementmethodsforthenon

2、smoothThisarticlefocusesontheextrapolationandtheZZrecovery，F(xiàn)romthesetwoaspects，weanalyzetheproblemofnonsmoothfiniteelement’SpostprocessingWe，respectivelyobtaingoodresultsfromthecalculationsandthetheoreticalpointofviewOnt

3、heextrapolation，wecarryoutamoredetaileddiscussioninChapter4Sections1and2Makinganewmethodoftheerrorestimationbytheprojectioninterpolation，analyzingthesuperconvergence，weobtainagoodextrapolationresultofthebiline缸finiteelem

4、entwithnonsmoothsolution，andverifyofthisresultbyn1】meric以calculationsInSection4，wensetheZZRecoveryfiniteelementsolutiontodiscussthenonsmoothproblem，andobtainagoodsuperconvergenceWehavealotofnumericalcalculations，andthenu

5、mericalresultsarebasicallyconsistentwiththetheoreticalresultsWemakeaseriesofnumericalexperimentsbytakingdifferentvaluesof，andfinallywehaveaconclusion，thatis，thebetterthesmootllIlessoftruesolutionisobtained，thehigherofthe