Cangiani, Andrea, Dong, Zhaonan, Georgoulis, Emmanuil H. and Houston, Paul
2016.
hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes.
ESAIM: Mathematical Modelling and Numerical Analysis
50
(3)
, pp. 699-725.
10.1051/m2an/2015059
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Official URL: http://dx.doi.org/10.1051/m2an/2015059
Abstract
We consider the hp-version interior penalty discontinuous Galerkin finite element method (DGFEM) for the numerical approximation of the advection-diffusion-reaction equation on general computational meshes consisting of polygonal/polyhedral (polytopic) elements. In particular, new hp-version a priori error bounds are derived based on a specific choice of the interior penalty parameter which allows for edge/face-degeneration. The proposed method employs elemental polynomial bases of total degree p (
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Publisher: | EDP Sciences |
ISSN: | 0764-583X |
Date of First Compliant Deposit: | 16 December 2019 |
Date of Acceptance: | 10 August 2015 |
Last Modified: | 27 Nov 2020 23:25 |
URI: | http://orca.cf.ac.uk/id/eprint/127568 |
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