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math.NA2014
A note on adjoint error estimation for one-dimensional stationary balance laws with shocks
Jochen Schütz, Sebastian Noelle, Christina Steiner +1
We consider one-dimensional steady-state balance laws with discontinuous solutions. Giles and Pierce realized that a shock leads to a new term in the adjoint error representation f…
math.NA2014★ 13 cited
On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws
Mohammad Zakerzadeh, Georg May
In this paper, we present a shock capturing discontinuous Galerkin (SC-DG) method for nonlinear systems of conservation laws in several space dimensions and analyze its stability a…