Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems
نویسندگان
چکیده
منابع مشابه
Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems
We present and analyze novel hierarchical a posteriori error estimates for self-adjoint elliptic obstacle problems. Our approach differs from straightforward, but nonreliable estimators by an additional extra term accounting for the deviation of the discrete free boundary in the localization step. We prove efficiency and reliability on a saturation assumption and a regularity condition on the u...
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We present a hierarchical a posteriori error analysis for the minimum value of the energy functional in symmetric obstacle problems. The main result is that the energy of the exact solution is, up to oscillation terms, equivalent to an appropriate hierarchical estimator. The proof does not invoke any saturation assumption. Moreover, we prove an a posteriori error estimate indicating that the es...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2010
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2010-02394-4