27 citations · 73 across the 9 of their papers we have counts for
7 papers · 1 filter
A Discontinuous Galerkin Method for the Intrinsic Beam Model with Kelvin-Voigt Damping
Shivam Sundriyal, Christian Bleffert, Lukas Dreyer +3
We present an energy-stable discontinuous Galerkin (DG) spatial discretization of the intrinsic beam equations with Kelvin-Voigt damping. We reformulate the governing equations by…
A subcell-enriched Galerkin method for advection problems
Andreas Rupp, Moritz Hauck, Vadym Aizinger
In this work, we introduce a generalization of the enriched Galerkin (EG) method. The key feature of our scheme is an adaptive two-mesh approach that, in addition to the standard e…
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
Andreas Rupp, Vadym Aizinger, Balthasar Reuter +1
We formulate a coupled surface/subsurface flow model that relies on hydrostatic equations with free surface in the free flow domain and on the Darcy model in the subsurface part. T…
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface
Balthasar Reuter, Andreas Rupp, Vadym Aizinger +2
This is the fourth installment in our series on implementing the discontinuous Galerkin (DG) method as an open source MATLAB /GNU Octave toolbox. Similarly to its predecessors, thi…
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation
Alexander Jaust, Balthasar Reuter, Vadym Aizinger +2
The third paper in our series on open source MATLAB / GNU Octave implementation of the discontinuous Galerkin (DG) method(s) focuses on a hybridized formulation. The main aim of th…
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting
Balthasar Reuter, Vadym Aizinger, Manuel Wieland +2
This is the second in a series of papers on implementing a discontinuous Galerkin (DG) method as an open source Matlab / GNU Octave toolbox. The intention of this ongoing project i…
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part I: Diffusion operator
Florian Frank, Balthasar Reuter, Vadym Aizinger +1
This is the first in a series of papers on implementing a discontinuous Galerkin method as a MATLAB / GNU Octave toolbox. The main goal is the development of techniques that delive…