FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation

Jaust A, Reuter B, Aizinger V, Schütz J, Knabner P (2018)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Computers & Mathematics with Applications Elsevier

Publisher: Elsevier Ltd

Book Volume: 75

Pages Range: 4505-4533

Journal Issue: 12

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_JaustReuterAizingerSchuetzKn_FestungAMatlabGnuPartIIIHDG

DOI: 10.1016/j.camwa.2018.03.045

Abstract

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 this ongoing work is to develop rapid prototyping techniques covering a range of standard DG methodologies and suitable for small to medium sized applications. Our FESTUNG package relies on fully vectorized matrix/vector operations throughout, and all details of the implementation are fully documented. Once again, great care is taken to maintain a direct mapping between discretization terms and code routines as well as to ensure full compatibility to GNU Octave. The current work formulates a hybridized DG scheme for a linear advection problem, describes hybrid approximation spaces on the mesh skeleton, and compares the performance of this discretization to the standard (element-based) DG method for different polynomial orders.

Authors with CRIS profile

Balthasar Reuter Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Vadym Aizinger Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Hasselt University / Universiteit Hasselt BE Belgium (BE)

How to cite

APA:

Jaust, A., Reuter, B., Aizinger, V., Schütz, J., & Knabner, P. (2018). FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation. Computers & Mathematics with Applications, 75(12), 4505-4533. https://doi.org/10.1016/j.camwa.2018.03.045

MLA:

Jaust, Alexander, et al. "FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation." Computers & Mathematics with Applications 75.12 (2018): 4505-4533.

BibTeX: Download