A finite element splitting method for a convection-diffusion problem

Journal article, 2020

For a spatially periodic convection-diffusion problem, we analyze a time stepping method based on Lie splitting of a spatially semidiscrete finite element solution on time steps of length k, using the backward Euler method for the diffusion part and a stabilized explicit forward Euler approximation on m ≥ 1 intervals of length k/m for the convection part. This complements earlier work on time splitting of the problem in a finite difference context.