On robustness of flux reconstructions - discontinuous Galerkin method

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Miloslav Vlasák


We deal with the numerical solution of the Poisson equation. The equation is discretized with the aid of the incomplete interior penalty discontinuous Galerkin method. Guaranteed a posteriori upper bound based on the flux reconstruction can be derived. The main aim of this paper is to show that the robustness of a certain simple reconstruction depends at most on p^{1/2} in one dimension, where p is the discretization polynomial degree. The theoretical results are verified by numerical experiments.

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Vlasák, M. (2020). On robustness of flux reconstructions - discontinuous Galerkin method. Proceedings Of The Conference Algoritmy, , 240 - 248. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1580/832


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