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math.NA2018★ 15 cited
On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation
Kenneth Duru, Alice-Agnes Gabriel, Gunilla Kreiss
We develop a provably energy stable discontinuous Galerkin spectral element method (DGSEM) approximation of the perfectly matched layer (PML) for the three and two space dimensiona…
math.NA2018★ 7 cited
A new discontinuous Galerkin spectral element method for elastic waves with physically motivated numerical fluxes
Kenneth Duru, Leonhard Rannabauer, Alice-Agnes Gabriel +1
The discontinuous Galerkin (DG) method is an established method for computing approximate solutions of partial differential equations in many applications. Unlike continuous finite…