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Implicit a posteriori error estimation using patch recovery techniques

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Horváth T., Izsák F.

Open Mathematics

2012

tom 10

nr 1

55-72

We develop implicit a posteriori error estimators for elliptic boundary value problems. Local problems are formulated for the error and the corresponding Neumann type boundary conditions are approximated using a new family of gradient averaging procedures. Convergence properties of the implicit error estimator are discussed independently of residual type error estimators, and this gives a freedom in the choice of boundary conditions. General assumptions are elaborated for the gradient averaging which define a family of implicit a posteriori error estimators. We will demonstrate the performance and the favor of the method through numerical experiments.

Ograniczanie wyników

1 Open Mathematics

1 Horváth T.

1 Izsák F.

1 2012

Wyniki wyszukiwania

Implicit a posteriori error estimation using patch recovery techniques