29 citations · 55 across the 5 of their papers we have counts for
4 papers · 1 filter
Multilevel Spectral Domain Decomposition
Peter Bastian, Robert Scheichl, Linus Seelinger +1
Highly heterogeneous, anisotropic coefficients, e.g. in the simulation of carbon-fibre composite components, can lead to extremely challenging finite element systems. Direct solver…
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…