Ainsworth, Mark and Rankin, Richard Andrew Robert (2011) Constant free error bounds for nonuniform order discontinuous Galerkin finiteelement approximation on locally refined meshes with hanging nodes. IMA Journal of Numerical Analysis, 31 (1). pp. 254280. ISSN 02724979

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Abstract
We obtain fully computable constant free a posteriori error bounds on the broken energy seminorm and the discontinuous Galerkin (DG) norm of the error for nonuniform polynomial order symmetric interior penalty Galerkin, nonsymmetric interior penalty Galerkin and incomplete interior penalty Galerkin finiteelement approximations of a linear secondorder elliptic problem on meshes containing hanging nodes and comprised of triangular elements. The estimators are completely free of unknown constants and provide guaranteed numerical bounds on the broken energy seminorm and the DG norm of the error. These estimators are also shown to provide a lower bound for the broken energy seminorm and the DG norm of the error up to a constant and higherorder data oscillation terms.
Item type:  Article 

ID code:  37743 
Keywords:  finiteelement analysis, hanging nodes , Galerkin finiteelement approximation, Probabilities. Mathematical statistics, Computational Mathematics, Applied Mathematics, Mathematics(all) 
Subjects:  Science > Mathematics > Probabilities. Mathematical statistics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Pure Administrator 
Date Deposited:  20 Feb 2012 13:50 
Last modified:  23 Jul 2015 15:24 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/37743 
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