ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991): 65N30, 65N15
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. Both for the $H^1$ - and $L^2$ -norms, we prove that, up to higher order perturbation terms, edge residuals yield global upper and local lower bounds on the error of linear finite element methods on anisotropic triangular or tetrahedral meshes. We also show that, with a correct scaling, edge residuals yield a robust error estimator for a singularly perturbed reaction-diffusion equation.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00005407
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