Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations
- Ahmed, Naveed
- John, Volker
2010 Mathematics Subject Classification
- Continuous Galerkin--Petrov method, discontinuous Galerkin method, post-processed solution, adaptive step length control, SUPG stabilization
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.
- Comput. Methods Appl. Mech. Engrg., 285 (2014) pp. 83--101.