21 citations · 71 across the 7 of their papers we have counts for
8 papers
Assessment of high-order IMEX methods for incompressible flow
Montadhar Guesmi, Martina Grotteschi, Jörg Stiller
This paper investigates the competitiveness of semi-implicit Runge-Kutta (RK) and spectral deferred correction (SDC) time-integration methods up to order six for incompressible Nav…
Linearizing the hybridizable discontinuous Galerkin method: A linearly scaling operator
Immo Huismann, Jörg Stiller, Jochen Fröhlich
This paper proposes a matrix-free residual evaluation technique for the hybridizable discontinuous Galerkin method requiring a number of operations scaling only linearly with the n…
A spectral deferred correction method for incompressible flow with variable viscosity
Jörg Stiller
This paper presents a semi-implicit spectral deferred correction (SDC) method for incompressible Navier-Stokes problems with variable viscosity and time-dependent boundary conditio…
Scaling to the stars -- a linearly scaling elliptic solver for -multigrid
Immo Huismann, Jörg Stiller, Jochen Fröhlich
High-order methods gain increased attention in computational fluid dynamics. However, due to the time step restrictions arising from the semi-implicit time stepping for the incompr…
Robust Multigrid for Cartesian Interior Penalty DG Formulations of the Poisson Equation in 3D
Joerg Stiller
We present a polynomial multigrid method for the nodal interior penalty formulation of the Poisson equation on three-dimensional Cartesian grids. Its key ingredient is a weighted o…
Robust multigrid for high-order discontinuous Galerkin methods: A fast Poisson solver suitable for high-aspect ratio Cartesian grids
Jörg Stiller
We present a polynomial multigrid method for nodal interior penalty and local discontinuous Galerkin formulations of the Poisson equation on Cartesian grids. For smoothing we propo…
Factorizing the factorization - a spectral-element solver for elliptic equations with linear operation count
Immo Huismann, Jörg Stiller, Jochen Fröhlich
High-order methods gain more and more attention in computational fluid dynamics. However, the potential advantage of these methods depends critically on the availability of efficie…
Nonuniformly weighted Schwarz smoothers for spectral element multigrid
Joerg Stiller
A hybrid Schwarz/multigrid method for spectral element solvers to the Poisson equation in is presented. It extends the additive Schwarz method studied by J. Lottes an…