Robust a posteriori error estimation for the nonconforming Fortin-Soulie finite element approximation |
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Authors: | Mark Ainsworth Richard Rankin |
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Institution: | Department of Mathematics, Strathclyde University, 26 Richmond Street, Glasgow G1 1XH, Scotland ; Department of Mathematics, Strathclyde University, 26 Richmond Street, Glasgow G1 1XH, Scotland |
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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. |
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Keywords: | Robust a posteriori error estimation nonconforming finite element Fortin--Soulie element |
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