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简介:Inthispaperwedescribeamulti-gridalgorithmformixedproblemswithpenaltybythelinearfiniteelementapproximation.Itisprovedthattheconvergencerateofthealgorithmisboundedawayfrom1independentlyofthemeshsize.Forconvenience,weonlydiscussJacobirelaxationassmoothingoperatorindetail.
简介:TheauthorsprovetheHyers-Ulam-RassiasstabilityofthequadraticmappinginBanachmodulesoveraunitalC*-algebra,andprovetheHyers-Ulam-RassiasstabilityofthequadraticmappinginBanachmodulesoveraunitalBanachalgebra.
简介:ThepreparationoftwotypesofmolecularsievesAlPO4-11andMAPO-11isreported.Theparticlesizeofthelatterishundredsofmicrons,about10timeslargerthanthatoftheformer.TheXRD,IRandDTAspectrahavedemonstratedthatmagnesiumhasbeenintroducedintotheframeworkofAlPO4-11.ThesuccessfulpreparationoflargesinglecrystalofMAPO-11willopenupanewareaforthepreparationoflargemolecularsievescrystalsinthefuture.ThelargeMAPO-11crystalcompoundisapromisinghostforthehost-guestassemblyofcompositematerials.
简介:Thispaperreportsthattheetchingmorphologyofdislocationsin8°off-axis4H-SiCepilayerisobservedbyusingascanningelectronicmicroscope.Itisfoundthatdifferenttypesofdislocationscorrespondwithdifferentdensitiesandbasalplanedislcation(BPD)arrayandthreadingedgedislocation(TED)pileupgroupliealongsomecertaincrystaldirectionsintheepilayer.Itisconcludedthattheelasticenergyofthreadingscrewdislocations(TSDs)ishighestandTEDsislowestamongthesedislocations,sothedensityofTSDsislowerthanTEDs.TheBPDscanconverttoTEDsbutTSDscanonlypropagateintotheepilyerinspiteofthehigherelasticenergythanTEDs.ThereasonoftheformofBPDsarrayinepilayeristhatthebigstepalongthebasalplanecausedbyfacedefectsblockedtheupstreamatoms,andTEDspileupgroupisthatthedislocationsslideisblockedbydislocationgroupsinepilayer.