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Article

Dolejší, Vít ; Roskovec, Filip
Goal oriented a posteriori error estimates for the discontinuous Galerkin method. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016. Institute of Mathematics CAS, Prague, 2017. pp. 15-23
MSC: 65M60, 65M70 | DOI: 10.21136/panm.2016.02
Keywords:
discontinuous Galerkin method; aposteriori error estimates; goal-oriented estimates; algebraic error
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.
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