23 citations · 23 across the 1 of their papers we have counts for
4 papers
Revisiting Hyperbolicity of Relativistic Fluids
Andreas Schoepe, David Hilditch, Marcus Bugner
Motivated by the desire for highly accurate numerical computations of compact binary spacetimes in the era of gravitational wave astronomy, we reexamine hyperbolicity and well-pose…
Hyperbolic Relaxation Method for Elliptic Equations
Hannes R. Rüter, David Hilditch, Marcus Bugner +1
We show how the basic idea of parabolic Jacobi relaxation can be modified to obtain a new class of hyperbolic relaxation schemes that are suitable for the solution of elliptic equa…
The evolution of hyperboloidal data with the dual foliation formalism: Mathematical analysis and wave equation tests
David Hilditch, Enno Harms, Marcus Bugner +2
A long-standing problem in numerical relativity is the satisfactory treatment of future null-infinity. We propose an approach for the evolution of hyperboloidal initial data in whi…
Solving 3D relativistic hydrodynamical problems with WENO discontinuous Galerkin methods
Marcus Bugner, Tim Dietrich, Sebastiano Bernuzzi +2
Discontinuous Galerkin (DG) methods coupled to WENO algorithms allow high order convergence for smooth problems and for the simulation of discontinuities and shocks. In this work,…