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

Numerical Analysis 2021-03-17 v2 Numerical Analysis

Abstract

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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Cite

@article{arxiv.2103.04776,
  title  = {Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations},
  author = {Abhinav Jha and Naveed Ahmed},
  journal= {arXiv preprint arXiv:2103.04776},
  year   = {2021}
}