Technical note: a note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes

Ainsworth, M. and Rankin, R. (2012) Technical note: a note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes. Numerical Methods for Partial Differential Equations, 28 (3). pp. 1099-1104. ISSN 0749-159X

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Abstract

We obtain a computable lower bound on the value of the interior penalty parameters sufficient for the existence of a unique discontinuous Galerkin finite element approximation of a second order elliptic problem. The bound obtained is valid for meshes containing an arbitrary number of hanging nodes and elements of arbitrary nonuniform polynomial order.

Creators(s): Ainsworth, M. and Rankin, R.;
Item type:Article
ID code:40300
Keywords:approximation, discontinuous Galerkin method, finite element, hanging nodes, meshes, error bounds, advection-diffusion equations, interior penalty method, Probabilities. Mathematical statistics, Computational Mathematics, Analysis, Applied Mathematics, Numerical Analysis
Subjects:Science > Mathematics > Probabilities. Mathematical statistics
Department:Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date deposited:02 Jul 2012 12:52
Last modified:01 Jan 2021 05:00
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URI:https://strathprints.strath.ac.uk/id/eprint/40300
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