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http://hdl.handle.net/1942/25962
Title: | FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation | Authors: | JAUST, Alexander Reuter, Balthasar Aizinger, Vadym SCHUETZ, Jochen Knabner, Peter |
Issue Date: | 2018 | Source: | COMPUTERS & MATHEMATICS WITH APPLICATIONS, 75 (12), p. 4505-4533 | Status: | In press | 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. | Notes: | Aizinger, V (reprint author), Helmholtz Ctr Polar & Marine Res, Alfred Wegener Inst, Handelshafen 12, D-27570 Bremerhaven, Germany. alexander.jaust@uhasselt.be; reuter@math.fau.de; aizinger@math.fau.de; jochen.schuetz@uhasselt.be; knabner@math.fau.de | Keywords: | MATLAB; GNU Octave; hybridized discontinuous Galerkin (HDG) method; vectorization; open source; diagonally implicit Runge-Kutta method (DIRK) | Document URI: | http://hdl.handle.net/1942/25962 | ISSN: | 0898-1221 | e-ISSN: | 1873-7668 | DOI: | 10.1016/j.camwa.2018.03.045 | ISI #: | 000432886400023 | Rights: | © 2018 Elsevier Ltd. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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FESTUNG-Pt3.pdf | Non Peer-reviewed author version | 6.19 MB | Adobe PDF | View/Open |
1-s2.0-S0898122118301895-main.pdf Restricted Access | Published version | 1.46 MB | Adobe PDF | View/Open Request a copy |
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