28 citations · 76 across the 13 of their papers we have counts for
17 papers
The Hermite-Taylor Correction Function Method for Embedded Boundary and Maxwell's Interface Problems
Yann-Meing Law, Daniel Appelö, Thomas Hagstrom
We propose a novel Hermite-Taylor correction function method to handle embedded boundary and interface conditions for Maxwell's equations. The Hermite-Taylor method evolves the ele…
An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation
Daniel Appelö, Lu Zhang, Thomas Hagstrom +1
We extend and analyze the energy-based discontinuous Galerkin method for second order wave equations on staggered and structured meshes. By combining spatial staggering with local…
Energy-based discontinuous Galerkin difference methods for second-order wave equations
Lu Zhang, Daniel Appelö, Thomas Hagstrom
We combine the newly-constructed Galerkin difference basis with the energy-based discontinuous Galerkin method for wave equations in second order form. The approximation properties…
An energy-based discontinuous Galerkin method for semilinear wave equations
Daniel Appelo, Thomas Hagstrom, Qi Wang +1
We generalize the energy-based discontinuous Galerkin method proposed in [SIAM J. Num. Anal., 53(6):2705-2726, 2015.] to second-order semilinear wave equations. A stability and con…
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…
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…