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
Full text not available in this repository.Request a copy from the Strathclyde authorOfficial URL: https://doi.org/10.1002/num.20663
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: | 20 Jan 2021 20:11 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/40300 |
Export data: |
CORE (COnnecting REpositories)