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 0749-159XFull text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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:||29 Jul 2016 03:05|