36 citations · 63 across the 4 of their papers we have counts for
5 papers
Concepts for Composing Finite Element Function Space Bases
Christian Engwer, Carsten Gräser, Steffen Müthing +2
Finite Element discretizations of coupled multi-physics partial differential equation models require the handling of composed function spaces. In this paper we discuss software con…
Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications
Peter Bastian, Mirco Altenbernd, Nils-Arne Dreier +13
In the Exa-Dune project we have developed, implemented and optimised numerical algorithms and software for the scalable solution of partial differential equations (PDEs) on future…
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…