Reuter B, Aizinger V, Wieland M, Frank F, Knabner P (2016)
Publication Language: English
Publication Type: Journal article
Publication year: 2016
Publisher: Elsevier
Book Volume: 72
Pages Range: 1896-1925
Journal Issue: 7
DOI: 10.1016/j.camwa.2016.08.006
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.
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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