6 citations · 15 across the 8 of their papers we have counts for
8 papers
A superconvergent stencil-adaptive SBP-SAT finite difference scheme
Viktor Linders, Mark Carpenter, Jan Nordström
A stencil-adaptive SBP-SAT finite difference scheme is shown to display superconvergent behavior. Applied to the linear advection equation, it has a convergence rate $\mathcal{O}(Δ…
Resolving Entropy Growth from Iterative Methods
Viktor Linders, Hendrik Ranocha, Philipp Birken
We consider entropy conservative and dissipative discretizations of nonlinear conservation laws with implicit time discretizations and investigate the influence of iterative method…
Locally conservative and flux consistent iterative methods
Viktor Linders, Philipp Birken
Conservation and consistency are fundamental properties of discretizations of systems of hyperbolic conservation laws. Here, these concepts are extended to the realm of iterative m…
Theoretical and Practical Aspects of Space-Time DG-SEM Implementations
Lea M. Versbach, Viktor Linders, Robert Klöfkorn +1
We discuss two approaches for the formulation and implementation of space-time discontinuous Galerkin spectral element methods (DG-SEM). In one, time is treated as an additional co…
On an eigenvalue property of Summation-By-Parts operators
Viktor Linders
Summation-By-Parts (SBP) methods provide a systematic way of constructing provably stable numerical schemes. However, many proofs of convergence and accuracy rely on the assumption…
Local Fourier Analysis of a Space-Time Multigrid Method for DG-SEM for the Linear Advection Equation
Lea M. Versbach, Philipp Birken, Viktor Linders +1
In this paper we present a Local Fourier Analysis of a space-time multigrid solver for a hyperbolic test problem. The space-time discretization is based on arbitrarily high order d…
Conservative iterative methods for implicit discretizations of conservation laws
Philipp Birken, Viktor Linders
Conservation properties of iterative methods applied to implicit finite volume discretizations of nonlinear conservation laws are analyzed. It is shown that any consistent multiste…
Jet softening and decollimation in heavy-ion collisions
Viktor Linders
Two suggested models of jet fragmentation in a quark-gluon plasma have been tested, combined and further developed. This has been done by generating hard processes in proton-proton…