Application of reconstruction operators in the discontinuous galerkin method

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dc.contributor.authorKučera, Václav
dc.date.accessioned2017-11-02
dc.date.available2017-11-02
dc.date.issued2012
dc.description.abstractThis paper gives an overview of the main ingredients needed to incorporate reconstruction op- erators, as known from higher order finite volume (FV) and spectral volume (SV) schemes, into the discontinuous Galerkin (DG) method. Such an operator constructs higher order approxima- tions from the lower order DG scheme, increasing the order of convergence, while leading to a more efficient numerical scheme than the corresponding higher order DG scheme itself. We discuss theoretical, as well as implementational aspects and numerical experiments.en
dc.formattextcs
dc.format.extent9 stran
dc.identifier.eissn1803-9790
dc.identifier.issn1803-9782
dc.identifier.otherACC_2012_4_13
dc.identifier.urihttps://dspace.tul.cz/handle/15240/21145
dc.language.isoen
dc.licenseCC BY-NC 4.0
dc.publisherTechnická univerzita v Liberci, Česká republikacs
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dc.relation.isbasedonFEISTAUER, M.; KUČ ERA, V.: Analysis of the DGFEM for nonlinear convection- diffusion problems. Electronic Transactions on Numerical Analysis, Vol. 32, No.1, (2008), pp. 33–48.
dc.relation.isbasedonKRÖNER, D.: Numerical Schemes for Conservation Laws. Wiley und Teubner, 1996.
dc.relation.isbasedonKUČERA, V.: Higher-Order Reconstruction: From Finite Volumes to Discontinuous Galerkin. Proc. of FVCA 6, Finite Volumes for Complex Applications VI Problems and Perspectives, Springer Berlin Heidelberg, pp. 613–621, 2011.
dc.relation.isbasedonLEVEQUE, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge University Press, Cambridge, 2002.
dc.relation.isbasedonWANG, Z. J.: Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation. J. Comput. Phys. 178 (2002), pp. 210–251.
dc.relation.ispartofACC Journalen
dc.relation.isrefereedtrue
dc.subjecthigher order reconstructionen
dc.subjectdiscontinuous Galerkinen
dc.subjectfinite volumesen
dc.titleApplication of reconstruction operators in the discontinuous galerkin methoden
dc.typeArticleen
local.accessopen
local.citation.epage119
local.citation.spage111
local.fulltextyesen
local.relation.issue4
local.relation.volume18
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