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Implicit a posteriori error estimation using patch recovery techniques

100%

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.

A brief review of some application driven fast algorithms for elliptic partial differential equations

84%

Daripa P.

Open Mathematics

2012

tom 10

nr 1

204-216

Some application driven fast algorithms developed by the author and his collaborators for elliptic partial differential equations are briefly reviewed here. Subsequent use of the ideas behind development of these algorithms for further development of other algorithms some of which are currently in progress is briefly mentioned. Serial and parallel implementation of these algorithms and their applications to some pure and applied problems are also briefly reviewed.

Ograniczanie wyników

2 Open Mathematics

1 Daripa P.

1 Horváth T.

1 Izsák F.

2 2012

Wyniki wyszukiwania

Implicit a posteriori error estimation using patch recovery techniques

A brief review of some application driven fast algorithms for elliptic partial differential equations