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cs.MS2021★ 18 cited
Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws
Hendrik Ranocha, Michael Schlottke-Lakemper, Jesse Chan +4
Many modern discontinuous Galerkin (DG) methods for conservation laws make use of summation by parts operators and flux differencing to achieve kinetic energy preservation or entro…
cs.MS2021★ 56 cited
Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing
Hendrik Ranocha, Michael Schlottke-Lakemper, Andrew R. Winters +3
We present Trixi.jl, a Julia package for adaptive high-order numerical simulations of hyperbolic partial differential equations. Utilizing Julia's strengths, Trixi.jl is extensible…