167 citations · 598 across the 41 of their papers we have counts for
6 papers · 2 filters
On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems
Jesse Chan, T. Warburton
Penalty fluxes are dissipative numerical fluxes for high order discontinuous Galerkin (DG) methods which depend on a penalization parameter. We investigate the dependence of the sp…
GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation
Arturo Vargas, Jesse Chan, Thomas Hagstrom +1
The Hermite methods of Goodrich, Hagstrom, and Lorenz (2006) use Hermite interpolation to construct high order numerical methods for hyperbolic initial value problems. The structur…
Weight-adjusted discontinuous Galerkin methods: curvilinear meshes
Jesse Chan, Russell J. Hewett, T. Warburton
Traditional time-domain discontinuous Galerkin (DG) methods result in large storage costs at high orders of approximation due to the storage of dense elemental matrices. In this wo…
A Geometric Multigrid Preconditioning Strategy for DPG System Matrices
Nathan V. Roberts, Jesse Chan
The discontinuous Petrov-Galerkin (DPG) methodology of Demkowicz and Gopalakrishnan [15,17] guarantees the optimality of the solution in an energy norm, and provides several featur…
Weight-adjusted discontinuous Galerkin methods: wave propagation in heterogeneous media
Jesse Chan, Russell J. Hewett, T. Warburton
Time-domain discontinuous Galerkin (DG) methods for wave propagation require accounting for the inversion of dense elemental mass matrices, where each mass matrix is computed with…
Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes
Jesse Chan, Zheng Wang, Russell J. Hewett +1
We present a high order time-domain nodal discontinuous Galerkin method for wave problems on hybrid meshes consisting of both wedge and tetrahedral elements. We allow for verticall…