163 citations · 461 across the 19 of their papers we have counts for
7 papers · 1 filter
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation
Matthias Taus, Leonardo Zepeda-Núñez, Russell J Hewett +1
We present the first fast solver for the high-frequency Helmholtz equation that scales optimally in parallel, for a single right-hand side. The L-sweeps approach achieves this scal…
A parallel shared-memory implementation of a high-order accurate solution technique for variable coefficient Helmholtz problems
Natalie Beams, Adrianna Gillman, Russell J. Hewett
The recently developed Hierarchical Poincaré-Steklov (HPS) method is a high-order discretization technique that comes with a direct solver. Results from previous papers demonstrate…
The method of polarized traces for the 3D Helmholtz equation
Leonardo Zepeda-Núñez, Adrien Scheuer, Russell J. Hewett +1
We present a fast solver for the 3D high-frequency Helmholtz equation in heterogeneous, constant density, acoustic media. The solver is based on the method of polarized traces, cou…
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…
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…