A Symmetric Characteristic Finite Volume Element Scheme for Nonlinear Convection-Diffusion Problems-中国Betway体育网页登陆

摘要 Inthispaper,weimplementalternatingdirectionstrategyandconstructasymmetricFVEschemefornonlinearconvection-diffusionproblems.ComparingtogeneralFVEmethods,ourmethodhastwoadvantages.First,thecoefficientmatricesofthediscreteschemeswillbesymmetricevenfornonlinearproblems.Second,sincethesolutionofthealgebraicequationsateachtimestepcanbeinvertedintothesolutionofseveralone-dimensionalproblems,theamountofcomputationworkissmaller.WeprovetheoptimalH1-normerrorestimatesoforderO(△t2+h)andpresentsomenumericalexamplesattheendofthepaper.

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A Symmetric Characteristic Finite Volume Element Scheme for Nonlinear Convection-Diffusion Problems

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