ABSOLUTE STABLE HOMOTOPY FINITE ELEMENT METHODS FOR CIRCULAR ARCH PROBLEM AND ASYMPTOTIC EXACTNESS POSTERIORI ERROR ESTIMATE-中国期刊网

摘要 Inthispaper,HFEMisproposedtoinvestigatethecirculararchproblem.Optimalerrorestimatesarederived,somesuperconvergenceresultsareestablished,andanasymptoticexactnessposteriorierrorestimatorispresented.Incontrastwiththeclassicaldisplacementvariationalmethod,theoptimalconvergenceratefordisplacementisuniformtothesmallparameter.Incontrastwithclassicalmixedfiniteelementmethods,ourresultsarefreeofthestrictrestrictiononh(themeshsize)whichispreservedbyallthepreviouspapers.Furtheremoreweintroduceanasymptoticexactnessposteriorierrorestimatorbasedonaglobalsuperconvergenceresultwhichisdiscoveredinthiskindofproblemforthefirsttime.

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ABSOLUTE STABLE HOMOTOPY FINITE ELEMENT METHODS FOR CIRCULAR ARCH PROBLEM AND ASYMPTOTIC EXACTNESS POSTERIORI ERROR ESTIMATE

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ABSOLUTE STABLE HOMOTOPY FINITE ELEMENT METHODS FOR CIRCULAR ARCH PROBLEM AND ASYMPTOTIC EXACTNESS POSTERIORI ERROR ESTIMATE

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