66 citations · 82 across the 11 of their papers we have counts for
6 papers · 1 filter
A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method
Sophia Julia Feriani, Matthias Cosnefroy, Allan Peter Engsig-Karup +3
In outdoor acoustics, the calculations of sound propagating in air can be computationally heavy if the domain is chosen large enough to fulfil the Sommerfeld radiation condition. B…
Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods
Yichen Guo, Eric de Sturler, Tim Warburton
We consider stopping criteria that balance algebraic and discretization errors for the conjugate gradient algorithm applied to high-order finite element discretizations of Poisson…
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows
Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez +2
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can…
A Local Discontinuous Galerkin Level Set Reinitialization with Subcell Stabilization on Unstructured Meshes
Ali Karakus, Noel Chalmers, Tim Warburton
In this paper we consider a level set reinitialization technique based on a high-order, local discontinuous Galerkin method on unstructured triangular meshes. A finite volume based…
Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
Jesse Chan, Yimin Lin, Tim Warburton
Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a semi-discrete entropy inequality under appropriate boundary conditions. In this work, we…
Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver
Anthony P. Austin, Noel Chalmers, Tim Warburton
We consider several methods for generating initial guesses when iteratively solving sequences of linear systems, showing that they can be implemented efficiently in GPU-accelerated…