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math.NA2020★ 8 cited
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…