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Adaptivní časoprostorová nespojitá Galerkinova metoda pro řešení nestacionárních úloh / Adaptive space-time discontinuous Galerkin method for the solution of non-stationary problems

This thesis studies the numerical solution of non-linear convection-diffusion problems using the space- time discontinuous Galerkin method, which perfectly suits the space as well as time local adaptation. We aim to develop a posteriori error estimates reflecting the spatial, temporal, and algebraic errors. These estimates are based on the measurement of the residuals in dual norms. We derive these estimates and numerically verify their properties. Finally, we derive an adaptive algorithm and apply it to the numerical simulation of non-stationary viscous compressible flows. Powered by TCPDF (www.tcpdf.org)

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:350837
Date January 2015
CreatorsVu Pham, Quynh Lan
ContributorsDolejší, Vít, Feistauer, Miloslav
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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