28 citations · 76 across the 13 of their papers we have counts for
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math.NA2019★ 28 cited
High-order discretization of a stable time-domain integral equation for 3D acoustic scattering
Alex H. Barnett, Leslie Greengard, Tom Hagstrom
We develop a high-order, explicit method for acoustic scattering in three space dimensions based on a combined-field time-domain integral equation. The spatial discretization, of N…
math.NA2019★ 5 cited
An energy-based discontinuous Galerkin method for the wave equation with advection
Lu Zhang, Thomas Hagstrom, Daniel Appelo
An energy-based discontinuous Galerkin method for the advective wave equation is proposed and analyzed. Energy-conserving or energy-dissipating methods follow from simple, mesh-ind…