36 citations · 169 across the 15 of their papers we have counts for
18 papers
Scalable multiscale-spectral GFEM with an application to composite aero-structures
Jean Bénézech, Linus Seelinger, Peter Bastian +4
In this paper, the first large-scale application of multiscale-spectral generalized finite element methods (MS-GFEM) to composite aero-structures is presented. The crucial novelty…
The Sweep Method for radiative Transfer in Arepo
Toni Peter, Ralf S. Klessen, Guido Kanschat +2
We introduce the radiative transfer code Sweep for the cosmological simulation suite Arepo. Sweep is a discrete ordinates method in which the radiative transfer equation is solved…
High Performance Uncertainty Quantification with Parallelized Multilevel Markov Chain Monte Carlo
Linus Seelinger, Anne Reinarz, Leonhard Rannabauer +3
Numerical models of complex real-world phenomena often necessitate High Performance Computing (HPC). Uncertainties increase problem dimensionality further and pose even greater cha…
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…
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…