3 papers
math.NA2020
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…
math.NA2020
Hermite-Discontinuous Galerkin Overset Grid Methods for the Scalar Wave Equation
Oleksii Beznosov, Daniel Appelö
We present high order accurate numerical methods for the wave equation that combines efficient Hermite methods with eometrically flexible discontinuous Galerkin methods by using ov…
math.NA2019
WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation
Daniel Appelo, Fortino Garcia, Olof Runborg
A new idea for iterative solution of the Helmholtz equation is presented. We show that the iteration which we denote WaveHoltz and which filters the solution to the wave equation w…