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Robust a posteriori error estimation for non-conforming finite element approximation

Ainsworth, M. (2005) Robust a posteriori error estimation for non-conforming finite element approximation. SIAM Journal on Numerical Analysis, 42 (6). pp. 2320-2341.

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The equilibrated residual method for a posteriori error estimation is extended to nonconforming finite element schemes for the approximation of linear second order elliptic equations where the permeability coefficient is allowed to undergo large jumps in value across interfaces between differing media. The estimator is shown to provide a computable upper bound on the error and, up to a constant depending only on the geometry, provides two-sided bounds on the error. The robustness of the estimator is also studied and the dependence of the constant on the jumps in permeability is given explicitly.

Item type: Article
ID code: 2220
Keywords: robust a posteriori error estimation, nonconforming finite element, Crouzeix--Raviart element, saturation assumption, Physics, Numerical Analysis
Subjects: Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 22 Nov 2006
Last modified: 21 May 2015 08:56

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