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Implicit a posteriori error estimation using patch recovery techniques
Horváth, Tamás L. and Izsák, Ferenc (2011) Implicit a posteriori error estimation using patch recovery techniques. [Report]
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| Abstract: | Implicit a posteriori error estimators are developed 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 procedure.The convergence properties of the implicit error estimator are discussed independently from that of the residual type error estimators, which provides a freedom in the choice of the boundary conditions. General assumptions are elaborated for the gradient averaging which define a family of implicit a posteriori error estimators. The performance and the favor of the method is demonstrated trough some numerical experiments. |
| Item Type: | Report |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/75747 |
| Publisher URL: | http://www.math.utwente.nl/publications |
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