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

Abstrakt

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.

Klíčová slova

• Evolutionary convection-diffusion-reaction equations
• Transport equations
• Finite element method
• Nonlinear flux-corrected-transport scheme
• Existence of a solution
• Brouwer's fixed-point theorem