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- ItemNumerical studies of higher order variational time stepping schemes for evolutionary Navier-Stokes equations(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Ahmed, Naveed; Matthies, GunarWe present in this paper numerical studies of higher order variational time stepping schemes combined with finite element methods for simulations of the evolutionary Navier-Stokes equations. In particular, conforming inf-sup stable pairs of finite element spaces for approximating velocity and pressure are used as spatial discretization while continuous GalerkinPetrov methods (cGP) and discontinuous Galerkin (dG) methods are applied as higher order variational time discretizations. Numerical results for the well-known problem of incompressible flows around a circle will be presented.
- ItemOn a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2022) Frerichs-Mihov, Derk; John, VolkerThis note studies a generalization of a post-processing technique and a novel method inspired by the same technique which significantly reduce spurious oscillations in discontinuous Galerkin solutions of convection-diffusion equations in the convection-dominated regime.