Return to search

A posteriorní odhady chyby pro řešení konvektivně-difusních úloh / A posteriori error estimates for numerical solution of convection-difusion problems

This thesis is concerned with several issues of a posteriori error estimates for linear problems. In its first part error estimates for the heat conduction equation discretized by the backward Euler method in time and discontinuous Galerkin method in space are derived. In the second part guaranteed and locally efficient error estimates involving algebraic error for Poisson equation discretized by the discontinuous Galerkin method are derived. The technique is based on the flux reconstruction where meshes with hanging nodes and variable polynomial degree are allowed. An adaptive strategy combining both adaptive mesh refinement and stopping criteria for iterative algebraic solvers is proposed. In the last part a numerical method for computing guaranteed lower and upper bounds of principal eigenvalues of symmetric linear elliptic differential operators is presented. 1

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:326160
Date January 2014
CreatorsŠebestová, Ivana
ContributorsDolejší, Vít, Sváček, Petr, Brandts, Jan
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/doctoralThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

Page generated in 0.0021 seconds