  We consider flux-corrected finite element discretizations of 3D
convection-dominated transport problems and assess the computational efficiency
of algorithms based on such approximations. The methods under investigation
include flux-corrected transport schemes and monolithic limiters. We discretize
in space using a continuous Galerkin method and $\mathbb{P}_1$ or
$\mathbb{Q}_1$ finite elements. Time integration is performed using the
Crank-Nicolson method or an explicit strong stability preserving Runge-Kutta
method. Nonlinear systems are solved using a fixed-point iteration method,
which requires solution of large linear systems at each iteration or time step.
The great variety of options in the choice of discretization methods and solver
components calls for a dedicated comparative study of existing approaches. To
perform such a study, we define new 3D test problems for time-dependent and
stationary convection-diffusion-reaction equations. The results of our
numerical experiments illustrate how the limiting technique, time
discretization and solver impact on the overall performance.
