55 citations · 96 across the 30 of their papers we have counts for
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math.NA2015★ 11 cited
A posteriori analysis of fully discrete method of lines DG schemes for systems of conservation laws
Andreas Dedner, Jan Giesselmann
We present reliable a posteriori estimators for some fully discrete schemes applied to nonlinear systems of hyperbolic conservation laws in one space dimension with strictly convex…
math.NA2015★ 5 cited
Discontinuous Galerkin methods for hyperbolic and advection-dominated problems on surfaces
Andreas Dedner, Pravin Madhavan
We extend the discontinuous Galerkin (DG) framework to the analysis of first-order hyperbolic and advection-dominated problems posed on implicitly defined surfaces. The focus will…