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Title: Goal oriented a posteriori error estimates for the discontinuous Galerkin method (English)
Author: Dolejší, Vít
Author: Roskovec, Filip
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016
Issue: 2016
Pages: 15-23
Category: math
Summary: This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical experiments. (English)
Keyword: discontinuous Galerkin method
Keyword: aposteriori error estimates
Keyword: goal-oriented estimates
Keyword: algebraic error
MSC: 65M60
MSC: 65M70
DOI: 10.21136/panm.2016.02
Date available: 2017-06-20T13:00:00Z
Last updated: 2023-06-05
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