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Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic p-Laplacian

Abstract:
We generalize the a posteriori techniques for the linear heat equation in [Ver03] to the case of the nonlinear parabolic p-Laplace problem thereby proving reliable and efficient a posteriori error estimates for a fully discrete implicite Euler Galerkin finite element scheme. The error is analyzed using the so-called quasi-norm and a related dual error expression. This leads to equivalence of the error and the residual, which is the key property for proving the error bounds.

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Publication date:
2011-12-05
URN:
uuid:5c063fe8-cc51-4bb6-a455-1252e9d006cc
Local pid:
oai:eprints.maths.ox.ac.uk:1457

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