Robust a posteriori error estimation for the nonconforming Fortin–Soulie finite element approximation
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- by Mark Ainsworth and Richard Rankin PDF
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Abstract:
We obtain a computable a posteriori error bound on the broken energy norm of the error in the Fortin–Soulie finite element approximation of a linear second order elliptic problem with variable permeability. This bound is shown to be efficient in the sense that it also provides a lower bound for the broken energy norm of the error up to a constant and higher order data oscillation terms. The estimator is completely free of unknown constants and provides a guaranteed numerical bound on the error.References
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Additional Information
- Mark Ainsworth
- Affiliation: Department of Mathematics, Strathclyde University, 26 Richmond Street, Glasgow G1 1XH, Scotland
- MR Author ID: 261514
- Email: M.Ainsworth@strath.ac.uk
- Richard Rankin
- Affiliation: Department of Mathematics, Strathclyde University, 26 Richmond Street, Glasgow G1 1XH, Scotland
- Email: rs.rran@maths.strath.ac.uk
- Received by editor(s): October 10, 2006
- Received by editor(s) in revised form: April 5, 2007
- Published electronically: April 28, 2008
- Additional Notes: Partial support of the first author by the Engineering and Physical Sciences Research Council of Great Britain under grant GR/S35101 and of the second author through a research studentship is gratefully acknowledged.
- © Copyright 2008 American Mathematical Society
- Journal: Math. Comp. 77 (2008), 1917-1939
- MSC (2000): Primary 65N15, 65N30
- DOI: https://doi.org/10.1090/S0025-5718-08-02116-9
- MathSciNet review: 2429869