A POSTERIORI ERROR ANALYSIS FOR A FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATION TO A KIND OF REACTIVE TRANSPORT PROBLEMS-中国期刊网

摘要 Inordertoobtainanexpectednumericalsolution,afullydiscretediscontinuousGalerkinmethodisappliedtoakindofreactivetransportproblemsintwodimension.Thatistosay,thespacevariableisdiscretizedwiththesymmetricinteriorpenaltyGalerkinmethod(SIPG),andthetimevariableisdonewiththebackwardEulermethod.Makinguseofthedualitytechnique,hpapproximationpropertiesandtheinterpolationtheory,aresidual-typeaposteriorierrorestimationisachieved,whichcanbeusedforadaptivity.Comparedwiththeanalysesofsemi-discretization,thecurrentpresentationismorechallengingandmoresignificant.

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A POSTERIORI ERROR ANALYSIS FOR A FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATION TO A KIND OF REACTIVE TRANSPORT PROBLEMS

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A POSTERIORI ERROR ANALYSIS FOR A FULLY DISCRETE DISCONTINUOUS GALERKIN APPROXIMATION TO A KIND OF REACTIVE TRANSPORT PROBLEMS

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