74 citations · 171 across the 11 of their papers we have counts for
11 papers
Optimal pressure approximation for the nonstationary Stokes problem by a variational method in time with post-processing
Mathias Anselmann, Markus Bause, Gunar Matthies +1
We provide an error analysis for the solution of the nonstationary Stokes problem by a variational method in space and time. We use finite elements of higher order for the approxim…
Unified Analysis for Variational Time Discretizations of Higher Order and Higher Regularity Applied to Non-stiff ODEs
Simon Becher, Gunar Matthies
We present a unified analysis for a family of variational time discretization methods, including discontinuous Galerkin methods and continuous Galerkin-Petrov methods, applied to n…
Variational Time Discretizations of Higher Order and Higher Regularity
Simon Becher, Gunar Matthies
We consider a family of variational time discretizations that are generalizations of discontinuous Galerkin (dG) and continuous Galerkin-Petrov (cGP) methods. The family is charact…
Higher-order discontinuous Galerkin time discretizations the evolutionary Navier--Stokes equations
Naveed Ahmed, Gunar Matthies
Discontinuous Galerkin methods of higher order are applied as temporal discretizations for the transient Navier--Stokes equations. The spatial discretization based on inf-sup stabl…
Galerkin-collocation approximation in time for the wave equation and its post-processing
Mathias Anselmann, Markus Bause, Simon Becher +1
We introduce and analyze a class of Galerkin-collocation discretization schemes in time for the wave equation. Its conceptual basis is the establishment of a direct connection betw…
ParMooN - a modernized program package based on mapped finite elements
Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed +11
{\sc ParMooN} is a program package for the numerical solution of elliptic and parabolic partial differential equations. It inherits the distinct features of its predecessor {\sc Mo…