Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains (Q850181)

The authors present a space-time discontinuous Galerkin (DG) finite element discretization of the advection-diffusion equation on time-dependent domains. They give a complete derivation of the space-time DG method for the advection-diffusion equation, together with the relation of the space-time discretization with the arbitrary Lagrangian Eulerian approach. They also give the detailed proofs of stability and error estimates. The space-time DG method is demonstrated with numerical experiments that agree well with the error analysis.