Publications (10)
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…
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…
A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems
Linus Seelinger, Anne Reinarz, Robert Scheichl
We present an efficient implementation of the highly robust and scalable GenEO preconditioner in the high-performance PDE framework DUNE. The GenEO coarse space is constructed by c…
Democratizing Uncertainty Quantification
Linus Seelinger, Anne Reinarz, Mikkel B. Lykkegaard +22
Uncertainty Quantification (UQ) is vital to safety-critical model-based analyses, but the widespread adoption of sophisticated UQ methods is limited by technical complexity. In thi…
dune-composites -- A New Framework for High-Performance Finite Element Modelling of Laminates
Anne Reinarz, Tim Dodwell, Tim Fletcher +3
Finite element (FE) analysis has the potential to offset much of the expensive experimental testing currently required to certify aerospace laminates. However, large numbers of deg…
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…