Optimal \(L^{\infty}\)-error estimates for nonconforming and mixed finite element methods of lowest order (Q1079351)
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scientific article; zbMATH DE number 3963136
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal \(L^{\infty}\)-error estimates for nonconforming and mixed finite element methods of lowest order |
scientific article; zbMATH DE number 3963136 |
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Optimal \(L^{\infty}\)-error estimates for nonconforming and mixed finite element methods of lowest order (English)
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1987
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For second order linear elliptic problems it is proved that the \(P_ 1\)- nonconforming finite element method has the same \(L^{\infty}\)- asymptotic accuracy as the \(P_ 1\)-conforming one. This result is applied to derive optimal \(L^{\infty}\)-error estimates for both the displacement and the stress fields of the lowest order Raviart-Thomas mixed finite element method, and a superconvergence result at the barycenter of each element.
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L-infinity error estimates
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nonconforming finite element
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displacement
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stress fields
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Raviart-Thomas
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superconvergence
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