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Numerical investigation of the reliability of a...
Journal article

Numerical investigation of the reliability of a posteriori error estimation for advection–diffusion equations

Abstract

Abstract A numerical investigation of the reliability of a posteriori error estimation for advection–diffusion equations is presented. The estimator used is based on the solution of local problems subjected to Neumann boundary conditions. The estimated errors are calculated in a weighted energy norm, a stability norm and an approximate fractional order norm in order to study the effect of the error norm on both the effectivity index of the …

Authors

ElSheikh AH; Smith S; Chidiac SE

Journal

International Journal for Numerical Methods in Biomedical Engineering, Vol. 24, No. 9, pp. 711–726

Publisher

Wiley

Publication Date

9 2008

DOI

10.1002/cnm.982

ISSN

2040-7939