WIAS Preprint No. 2761, (2020)

Existence of solutions of a finite element flux-corrected-transport scheme


Authors

  • John, Volker
    ORCID: 0000-0002-2711-4409
  • Knobloch, Petr
    ORCID: 0000-0003-2709-5882

2010 Mathematics Subject Classification

  • 65M60

Keywords

  • Evolutionary convection-diffusion-reaction equations, transport equations, finite element method, nonlinear flux-corrected-transport scheme, existence of a solution, Brouwer's fixed-point theorem

DOI

10.20347/WIAS.PREPRINT.2761

Abstract

The existence of a solution is proved for a nonlinear finite element flux-corrected-transport (FEM-FCT) scheme with arbitrary time steps for evolutionary convection-diffusion-reaction equations and transport equations.

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