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ID:32356507
大小:270.29 KB
页数:14页
时间:2019-02-03
《stokes问题间断有限元方法的后验误差估计》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
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2、reconditionersforDGmethodswerede“veda11danalyzedforellipticandconvection—diffusionprobIems,respectivel矿Adap“vetechniquesba5edonposteriorierrorestimatehavebecomeacommonprocedureforobtainingmoreaccuratenumericalsolutionofpar“aldiffbrentialequationsTheseprocedureuseindicatorstoassessthequalityofthe
3、approximationgloba】lyand/orlocally.T11ecellswithhighindicatorvaluearerefinedandtheprocessiSrepeatedLln“lthedesiredaccuracvisachieved.TheaimofthispaperistopresentpoSteriorierrorestimatesinL2一normandenergynormoftheLI)GmethodforStokesproblemFbranintroductiontothesubjectofposteriorierrores“mate,seet
4、hemonographofAinsworth&Oden12;andforamoretheoreticalanalysis,see七herecentbookofBabu§1(a&stroboulis【6]Inthispaper,weapplythestandarddualityargumenttoderiveposteriorierrores“mateofL2-110lIn,thentheupperboundofL2一normoferrorisobtainedbyusingexpljcitcomputationsoflocalresiduals.Becke÷etoff31andRiv论r
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6、int11(:ideasandtecllniquesofdomailldecompositionThees七i111atoIsIeqLlili119t11esohltionoflocalproblenlsaIidtheideaaowsfrom【25lInf281I7、tionoftheL】)GmethodforStokesproblem,usingitsmixedformulation.1nsection3,weshowsomereSultusedintheLDGmethod.Insection4andsectlon5,wepresentposterioIierrorestimatein∥norm龇1denergynorm,respectively2PreliminariesLetQcRd,d∈{2,3)b
7、tionoftheL】)GmethodforStokesproblem,usingitsmixedformulation.1nsection3,weshowsomereSultusedintheLDGmethod.Insection4andsectlon5,wepresentposterioIierrorestimatein∥norm龇1denergynorm,respectively2PreliminariesLetQcRd,d∈{2,3)b
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