On a posteriori error estimates for space--time discontinuous Galerkin method

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Vít Dolejší Filip Roskovec Miloslav Vlasák

Abstract

We deal with nonlinear nonstationary convection--diffusion problem. We discretize this problem by discontinuous Galerkin method in space and in time and, assuming the error is measured as a mesh dependent dual norm of residual, we present a posteriori estimate to this error measure. This a posteriori error estimate is cheap, robust with respect to degeneration to hyperbolic problem and fully computable. Moreover, we present a local asymptotic efficiency of this estimate.

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DOLEJŠÍ, Vít; ROSKOVEC, Filip; VLASÁK, Miloslav. On a posteriori error estimates for space--time discontinuous Galerkin method. Proceedings of the Conference Algoritmy, [S.l.], p. 125-134, feb. 2016. Available at: <http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/401>. Date accessed: 22 sep. 2017.
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