(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Ahmed, Naveed; John, Volker
Higher order variational time stepping schemes allow an efficient
post-processing for computing a higher order solution. This paper presents an
adaptive algorithm whose time step control utilizes the post-processed
solution. The algorithm is applied to convection-dominated
convection-diffusion equations. It is shown that the length of the time step
properly reflects the dynamics of the solution. The numerical costs of the
adaptive algorithm are discussed.
