36 citations · 62 across the 3 of their papers we have counts for
4 papers
A high-order discontinuous Galerkin pressure robust splitting scheme for incompressible flows
Marian Piatkowski, Peter Bastian
The accurate numerical simulation of high Reynolds number incompressible flows is a challenging topic in computational fluid dynamics. Classical inf-sup stable methods like the Tay…
Matrix-free multigrid block-preconditioners for higher order Discontinuous Galerkin discretisations
Peter Bastian, Eike Hermann Müller, Steffen Müthing +1
Efficient and suitably preconditioned iterative solvers for elliptic partial differential equations (PDEs) of the convection-diffusion type are used in all fields of science and en…
High-performance Implementation of Matrix-free High-order Discontinuous Galerkin Methods
Steffen Müthing, Marian Piatkowski, Peter Bastian
Achieving a substantial part of peak performance on todays and future high-performance computing systems is a major challenge for simulation codes. In this paper we address this qu…
A Stable and High-Order Accurate Discontinuous Galerkin Based Splitting Method for the Incompressible Navier-Stokes Equations
Marian Piatkowski, Steffen Müthing, Peter Bastian
In this paper we consider discontinuous Galerkin (DG) methods for the incompressible Navier-Stokes equations in the framework of projection methods. In particular we employ symmetr…