A Space-Time Finite Element Approximation of a Two-Step Chemical Kinetics Model

摘要

In this paper we suggest a fully discretized problem of a model describing two-step chemical kinetics. The model considered is a system of equations coupling Navier-Stokes equations with three non-linear reaction-diffusion equations. A space-time finite elements approximations are presented. The stability of the fully discretized problem is studied. Optimal error estimates are given.