151 citations · 551 across the 26 of their papers we have counts for
7 papers · 1 filter
Implementation techniques for multigrid solvers for high-order Discontinuous Galerkin methods
Sean Baccas, Alexander A. Belozerov, Eike H. Müller +1
Matrix-free geometric multigrid solvers for elliptic PDEs that have been discretised with Higher-order Discontinuous Galerkin (DG) methods are ideally suited to exploit state-of-th…
A Higher-order Hybridisable Discontinuous Galerkin IMEX method for the incompressible Euler equations
Eike Hermann Müller
The incompressible Euler equations are an important model system in computational fluid dynamics. Fast high-order methods for the solution of this time-dependent system of partial…
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…
Multilevel Monte Carlo and Improved Timestepping Methods in Atmospheric Dispersion Modelling
Grigoris Katsiolides, Eike H. Müller, Robert Scheichl +3
A common way to simulate the transport and spread of pollutants in the atmosphere is via stochastic Lagrangian dispersion models. Mathematically, these models describe turbulent tr…
Wavenumber-explicit analysis for the Helmholtz -BEM: error estimates and iteration counts for the Dirichlet problem
Jeffrey Galkowski, Eike H. Müller, Euan A. Spence
We consider solving the exterior Dirichlet problem for the Helmholtz equation with the -version of the boundary element method (BEM) using the standard second-kind combined-fiel…
Efficient Multigrid Preconditioners for Atmospheric Flow Simulations at High Aspect Ratio
Andreas Dedner, Eike Hermann Müller, Robert Scheichl
Many problems in fluid modelling require the efficient solution of highly anisotropic elliptic partial differential equations (PDEs) in "flat" domains. For example, in numerical we…