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math.NA2021
High order cut discontinuous Galerkin methods for hyperbolic conservation laws in one space dimension
Pei Fu, Gunilla Kreiss
In this paper, we develop a family of high order cut discontinuous Galerkin (DG) methods for hyperbolic conservation laws in one space dimension. The ghost penalty stabilization is…
math.NA2021★ 1 cited
An energy-based summation-by-parts finite difference method for the wave equation in second order form
Siyang Wang, Daniel Appelö, Gunilla Kreiss
We develop a new finite difference method for the wave equation in second order form. The finite difference operators satisfy a summation-by-parts (SBP) property. With boundary con…