67 citations · 123 across the 6 of their papers we have counts for
6 papers
Optimal approximation spaces for discontinuous Petrov-Galerkin finite element methods
Ankit Chakraborty, Ajay Rangarajan, Georg May
Certain Petrov-Galerkin schemes are inherently stable formulations of variational problems on a given mesh. This stability is primarily obtained by computing an optimal test basis…
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…
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…
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…
Adjoint-Based Error Estimation and Mesh Adaptation for Hybridized Discontinuous Galerkin Methods
Michael Woopen, Georg May, Jochen Schütz
We present a robust and efficient target-based mesh adaptation methodology, building on hybridized discontinuous Galerkin schemes for (nonlinear) convection-diffusion problems, inc…
A Comparison of Hybridized and Standard DG Methods for Target-Based hp-Adaptive Simulation of Compressible Flow
Michael Woopen, Aravind Balan, Georg May +1
We present a comparison between hybridized and non-hybridized discontinuous Galerkin methods in the context of target-based hp-adaptation for compressible flow problems. The aim is…