Efficient and reliable hierarchical error estimates for an elliptic obstacle problem

Authors:
Qingsong Zou
Affiliations:
Department of Scientific Computation and Computers' Applications, Zhongshan (Sun Yat-Sen) University, Guangzhou, 510275, PR China
Venue:
Applied Numerical Mathematics
Year:
2011

Citing 12
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Abstract

We present and analyze novel hierarchical a posteriori error estimates for a self-adjoint elliptic obstacle problem. Under a suitable saturation assumption, we prove the efficiency and reliability of our hierarchical estimates. The proof is based upon some new observations on the efficiency of some hierarchical error indicators. These new observations allow us to remove an additional regularity condition on the underlying grid required in the previous analysis. Numerical computations confirm our theoretical findings.