79 citations · 258 across the 61 of their papers we have counts for
9 papers · 1 filter
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems
Chupeng Ma, Christian Alber, Robert Scheichl
In this paper, a generalized finite element method (GFEM) with optimal local approximation spaces for solving high-frequency heterogeneous Helmholtz problems is systematically stud…
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems
Niall Bootland, Victorita Dolean, Ivan G. Graham +2
GenEO (`Generalised Eigenvalue problems on the Overlap') is a method for computing an operator-dependent spectral coarse space to be combined with local solves on subdomains to for…
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…
Critical point for de-mixing of binary hard spheres
Hideki Kobayashi, Paul B. Rohrbach, Robert Scheichl +2
We use a two-level simulation method to analyse the critical point associated with demixing of binary hard sphere mixtures. The method exploits an accurate coarse-grained model wit…
Error estimates for fully discrete generalized FEMs with locally optimal spectral approximations
Chupeng Ma, Robert Scheichl
This paper is concerned with error estimates of the fully discrete generalized finite element method (GFEM) with optimal local approximation spaces for solving elliptic problems wi…
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…