ON A POSTERIORI ERROR ESTIMATES FOR SPACE TIME DISCONTINUOUS GALERKIN METHOD

• ID: 2739, RIV: 10334588
• ISSN: neuvedeno, ISBN: 978-80-227-4544-4
• zdroj: PROCEEDINGS OF THE CONFERENCE ALGORITMY 2016
• klíčová slova: nonlinear convection-diffusion problem; a posteriori error analysis; discontinuous Galerkin method
• autoři: Vít Dolejší, Filip Roskovec, Miloslav Vlasák
• autoři z KNM: Dolejší Vít, Roskovec Filip

Abstrakt

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.