324 citations · 1.1k across the 33 of their papers we have counts for
11 papers · 1 filter
Stage-parallel fully implicit Runge-Kutta implementations with optimal multilevel preconditioners at the scaling limit
Peter Munch, Ivo Dravins, Martin Kronbichler +1
We present an implementation of a fully stage-parallel preconditioner for Radau IIA type fully implicit Runge--Kutta methods, which approximates the inverse of from the Butch…
Efficient distributed matrix-free multigrid methods on locally refined meshes for FEM computations
Peter Munch, Timo Heister, Laura Prieto Saavedra +1
This work studies three multigrid variants for matrix-free finite-element computations on locally refined meshes: geometric local smoothing, geometric global coarsening, and polyno…
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
Jean-Luc Guermond, Martin Kronbichler, Matthias Maier +2
This paper describes in detail the implementation of a finite element technique for solving the compressible Navier-Stokes equations that is provably robust and demonstrates excell…
Propagating geometry information to finite element computations
Luca Heltai, Wolfgang Bangerth, Martin Kronbichler +1
The traditional workflow in continuum mechanics simulations is that a geometry description -- for example obtained using Constructive Solid Geometry or Computer Aided Design tools…
A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators
Martin Kronbichler, Katharina Kormann, Niklas Fehn +2
This work proposes a basis for improved throughput of matrix-free evaluation of discontinuous Galerkin symmetric interior penalty discretizations on hexahedral elements. The basis…
A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid
Denis Davydov, Jean-Paul Pelteret, Daniel Arndt +1
The performance of finite element solvers on modern computer architectures is typically memory bound for sufficiently large problems. The main cause for this is that loading matrix…
A Flexible, Parallel, Adaptive Geometric Multigrid method for FEM
Thomas C. Clevenger, Timo Heister, Guido Kanschat +1
We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing o…
Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves
Svenja Schoeder, Katharina Kormann, Wolfgang Wall +1
This work presents algorithms for the efficient implementation of discontinuous Galerkin methods with explicit time stepping for acoustic wave propagation on unstructured meshes of…
On the stability of projection methods for the incompressible Navier-Stokes equations based on high-order discontinuous Galerkin discretizations
Niklas Fehn, Wolfgang A. Wall, Martin Kronbichler
The present paper deals with the numerical solution of the incompressible Navier-Stokes equations using high-order discontinuous Galerkin (DG) methods for discretization in space.…
A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers
Martin Kronbichler, Wolfgang A. Wall
This study presents a fair performance comparison of the continuous finite element method, the symmetric interior penalty discontinuous Galerkin method, and the hybridized disconti…
A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow
Benjamin Krank, Niklas Fehn, Wolfgang A. Wall +1
We present an efficient discontinuous Galerkin scheme for simulation of the incompressible Navier-Stokes equations including laminar and turbulent flow. We consider a semi-explicit…