hp-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes

Cangiani, Andrea, Dong, Zhaonan ORCID: https://orcid.org/0000-0003-4083-6593, 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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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
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:	21 Nov 2024 17:15
URI:	https://orca.cardiff.ac.uk/id/eprint/127568

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