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

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autor(en): Jaust A, Reuter B, Aizinger V, Schütz J, Knabner P
Zeitschrift: Computers & Mathematics With Applications
Verlag: Elsevier Ltd
Jahr der Veröffentlichung: 2018
Band: 75
Heftnummer: 12
Seitenbereich: 4505-4533
ISSN: 0898-1221
Sprache: Englisch


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.


FAU-Autoren / FAU-Herausgeber

Aizinger, Vadym, Ph.D.
Lehrstuhl für Angewandte Mathematik
Knabner, Peter Prof. Dr.
Lehrstuhl für Angewandte Mathematik
Reuter, Balthasar
Lehrstuhl für Angewandte Mathematik


Autor(en) der externen Einrichtung(en)
Hasselt University / Universiteit Hasselt


Zitierweisen

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://dx.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: 

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