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math.NA2019★ 1 cited
Guaranteed and robust -norm a posteriori error estimates for 1D linear advection problems
Alexandre Ern, Martin Vohralík, Mohammad Zakerzadeh
We propose a reconstruction-based a posteriori error estimate for linear advection problems in one space dimension. In our framework, a stable variational ultra-weak formulation is…
math.NA2017
Analysis of mixed discontinuous Galerkin formulations for quasilinear elliptic problems
Mohammad Zakerzadeh, Georg May
In this manuscript we present an approach to analyze the discontinuous Galerkin solution for general quasilinear elliptic problems. This approach is sufficiently general to extend…
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…