Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations

Abhinav Jha; Naveed Ahmed

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Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations

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arxiv 2103.04776 v2 pith:FNA6OODT submitted 2021-03-08 math.NA cs.NA

Abhinav Jha , Naveed Ahmed This is my paper · ORCID

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keywords schemeanalysisconvection-diffusion-reactioncorrectedfem-fctfluxlinearnonlinear

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We report in this paper the analysis for the linear and nonlinear version of the flux corrected transport (FEM-FCT) scheme in combination with the backward Euler time-stepping scheme applied to time-dependent convection-diffusion-reaction problems. We present the stability and error estimates for the linear and nonlinear FEM-FCT scheme. Numerical results confirm the theoretical predictions.

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