167 citations · 598 across the 41 of their papers we have counts for
5 papers · 1 filter
GPU-accelerated Bernstein-Bezier discontinuous Galerkin methods for wave problems
Jesse Chan, T. Warburton
We evaluate the computational performance of the Bernstein-Bezier basis for discontinuous Galerkin (DG) discretizations and show how to exploit properties of derivative and lift op…
Variations on Hermite methods for wave propagation
Arturo Vargas, Jesse Chan, Thomas Hagstrom +1
Hermite methods, as introduced by Goodrich et al., combine Hermite interpolation and staggered (dual) grids to produce stable high order accurate schemes for the solution of hyperb…
A short note on a Bernstein-Bezier basis for the pyramid
Jesse Chan, T. Warburton
We introduce a Bernstein-Bezier basis for the pyramid, whose restriction to the face reduces to the Bernstein-Bezier basis on the triangle or quadrilateral. The basis satisfies the…
GPU-accelerated discontinuous Galerkin methods on hybrid meshes
Jesse Chan, Zheng Wang, Axel Modave +2
We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal and…
Orthogonal bases for vertex-mapped pyramids
Jesse Chan, T. Warburton
Discontinuous Galerkin (DG) methods discretized under the method of lines must handle the inverse of a block diagonal mass matrix at each time step. Efficient implementations of th…