FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting

Reuter B, Aizinger V, Wieland M, Frank F, Knabner P (2016)

Publication Language: English

Publication Type: Journal article

Publication year: 2016

Journal

Computers & Mathematics with Applications Elsevier

Publisher: Elsevier

Book Volume: 72

Pages Range: 1896-1925

Journal Issue: 7

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ReuterAizingerWielandFrankKn_FestungAMatLabGnuPartII

DOI: 10.1016/j.camwa.2016.08.006

Abstract

This is the second in a series of papers on implementing a discontinuous Galerkin (DG) method as an open source NIATLAB/GNU Octave toolbox. The intention of this ongoing project is to offer a rapid prototyping package for application development using DG methods. The implementation relies on fully vectorized matrix/vector operations and is comprehensively documented. Particular attention was paid to maintaining a direct mapping between discretization terms and code routines as well as to supporting the full code functionality in GNU Octave. The present work focuses on a two-dimensional time dependent linear advection equation with space/time-varying coefficients, and provides a general order implementation of several slope limiting schemes for the DG method. (C) 2016 Elsevier Ltd. All rights reserved.

Authors with CRIS profile

Balthasar Reuter Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Vadym Aizinger Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Manuel Wieland Professur für Wissenschaftliches Rechnen Florian Frank Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Reuter, B., Aizinger, V., Wieland, M., Frank, F., & Knabner, P. (2016). FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting. Computers & Mathematics with Applications, 72(7), 1896-1925. https://dx.doi.org/10.1016/j.camwa.2016.08.006

MLA:

Reuter, Balthasar, et al. "FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting." Computers & Mathematics with Applications 72.7 (2016): 1896-1925.

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