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A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm |
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| Authors: | Carsten Carstensen W Liu N Yan |
| Institution: | Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany ; CBS & Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England ; Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, People's Republic of China |
| Abstract: | A posteriori error estimators based on quasi-norm gradient recovery are established for the finite element approximation of the p-Laplacian on unstructured meshes. The new a posteriori error estimators provide both upper and lower bounds in the quasi-norm for the discretization error. The main tools for the proofs of reliability are approximation error estimates for a local approximation operator in the quasi-norm. |
| Keywords: | Finite element approximation p-Laplacian a posteriori error estimators gradient recovery quasi-norm error bounds |
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