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A posteriori error estimation of the p-Laplace problem

✍ Scribed by C. Carstensen; R. Klose

Publisher
John Wiley and Sons
Year
2002
Weight
104 KB
Volume
1
Category
Article
ISSN
1617-7061

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✦ Synopsis

A posteriori error estimation of the p-Laplace problem

Two a posteriori error estimates are discussed for the p-Laplace problem. Up to errors in their numerical computation, they provide a guaranteed upper bound for the W 1,p -seminorm and a weighted W 1,2 -seminorm of uu h . The first, sharper a posteriori estimate is based on the numerical solution of local interface problems. The standard residual-based error estimate is addressed with emphasis on involved constants, determined as local eigenvalues. Numerical examples that illustrate the performance of these estimators can be found in [3].

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