简介：Inthispaper,theminimaldissipationlocaldiscontinuousGalerkinmethodisstudiedtosolvetheellipticinterfaceproblemsintwo-dimensionaldomains.Theinterfacemaybearbitrarysmoothcurves.ItisshownthattheerrorestimatesinL2-normforthesolutionandthefluxareO（h2｜logh｜）andO（h｜logh｜^l/2）,respectively.Innumericalexperiments,thesuccessivesubstitutioniterativemethodsareusedtosolvetheLDGschemes.Numericalresultsverifytheefficiencvandaccuracvofthemethod.

简介：ThisarticlefocusesonthedevelopmentofadiscontinuousGalerkin(DG)methodforsimulationsofmulticomponentandchemicallyreactingflows.Comparedtoaerodynamicflowapplications,inwhichDGmethodshavebeensuccessfullyemployed,DGsimulationsofchemicallyreactingflowsintroducechallengesthatarisefromflowunsteadiness,combustion,heatrelease,compressibilityeffects,shocks,andvariationsinthermodynamicproperties.Toaddressthesechallenges,algorithmsaredeveloped,includinganentropy-boundedDGmethod,anentropyresidualshockindicator,andanewformulationofartificialviscosity.TheperformanceandcapabilitiesoftheresultingDGmethodaredemonstratedinseveralrelevantapplications,includingshock/bubbleinteraction,turbulentcombustion,anddetonation.ItisconcludedthatthedevelopedDGmethodshowspromisingperformanceinapplicationtomulticomponentreactingflows.ThepaperconcludeswithadiscussionoffurtherresearchneedstoenabletheapplicationofDGmethodstomorecomplexreactingflows.

简介：在这份报纸，我们考虑充分分离的本地不连续的Galerkin方法，在第三命令前进的明确的Runge-Kutta时间被联合的地方。为一个维的时间依赖者有边界层的不可思议地使不安的问题，我们将证明结果的计划具有在本地稳定性的好行为不仅，而且有双optimal本地人错误估计。它是说，集中率在空间和时间是最佳的，并且截止子域的宽度也是将近最佳的，如果在各中间的舞台的边界条件以一个合适的方法被给。数字实验也被给。