335 citations · 943 across the 37 of their papers we have counts for
8 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…
GPU accelerated spectral finite elements on all-hex meshes
J. -F. Remacle, R. Gandham, T. Warburton
This paper presents a spectral element finite element scheme that efficiently solves elliptic problems on unstructured hexahedral meshes. The discrete equations are solved using a…
Nodal Discontinuous Galerkin Simulations for Reverse-Time Migration on GPU Clusters
Axel Modave, Amik St-Cyr, Wim A. Mulder +1
Improving both accuracy and computational performance of numerical tools is a major challenge for seismic imaging and generally requires specialized implementations to make full us…
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…
Patch-recovery filters for curvature in discontinuous Galerkin-based level-set methods
Florian Kummer, Tim Warburton
In two-phase flow simulations, a difficult issue is usually the treatment of surface tension effects. These cause a pressure jump that is proportional to the curvature of the inter…