تقرير
FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation
| العنوان: | FESTUNG: A MATLAB / GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation |
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| المؤلفون: | Jaust, Alexander, Reuter, Balthasar, Aizinger, Vadym, Schütz, Jochen, Knabner, Peter |
| المصدر: | Computers & Mathematics with Applications, Volume 75, Issue 12, 15 June 2018, Pages 4505-4533 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | 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 was 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 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. Comment: Updated with accepted manuscript. Among other (mostly editorial) changes, parts of Sec. 3 were rewritten to improve the presentation of the method |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.camwa.2018.03.045 |
| URL الوصول: | http://arxiv.org/abs/1709.04390 |
| رقم الأكسشن: | edsarx.1709.04390 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.camwa.2018.03.045 |
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