WIAS Preprint No. 1945, (2014)

Adaptive time step control for higher order variational time discretizations applied to convection-diffusion equations


  • Ahmed, Naveed
    ORCID: 0000-0002-9322-0373
  • John, Volker
    ORCID: 0000-0002-2711-4409

2010 Mathematics Subject Classification

  • 65M60


  • 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.

Appeared in

  • Comput. Methods Appl. Mech. Engrg., 285 (2014) pp. 83--101.

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