A Posteriori Error Estimate in the Case of Insufficient Regularity of the Discrete Space
We derive a posteriori error estimates for the nonconforming rotated bilinear element. The estimates are residual based and make use of weight factors obtained by a duality argument. Galerkin orthogonality requires the introduction of additional local trial functions. We show that their influence is of higher order and that they can be neglected. The validity of the estimate is demonstrated by computations for the Laplacian and for Stokes’ equations.
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