About: Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	This contribution discusses two attitudes to artificial dissipation reduction in numerical schemes for solving initial boundary value problems for the Allen-Cahn equation with anisotropy incorporated into the diffusion operator. In the first case, a weighted first order finite difference scheme is used for spatial discretization of the anisotropic texture diffusion problem in 2D, designed for vector field visualization. In the second case, a higher order finite volume scheme is used for the texture diffusion problem in 3D, applied in a MR tractography algorithm. The anisotropy of the diffusion is controlled by the diffusion tensor field. For both problems, comparisons with standard low order schemes are given in the form of pictures, together with remarks on convergence analysis results. This contribution discusses two attitudes to artificial dissipation reduction in numerical schemes for solving initial boundary value problems for the Allen-Cahn equation with anisotropy incorporated into the diffusion operator. In the first case, a weighted first order finite difference scheme is used for spatial discretization of the anisotropic texture diffusion problem in 2D, designed for vector field visualization. In the second case, a higher order finite volume scheme is used for the texture diffusion problem in 3D, applied in a MR tractography algorithm. The anisotropy of the diffusion is controlled by the diffusion tensor field. For both problems, comparisons with standard low order schemes are given in the form of pictures, together with remarks on convergence analysis results. (en)
Title	Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation (en)
skos:prefLabel	Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation (en)
skos:notation	RIV/68407700:21340/09:00155315!RIV10-MSM-21340___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(LC06052)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Strachota, Pavel
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	303465
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/09:00155315
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Allen-Cahn equation; anisotropic diffusion; antidissipative scheme; finite volume method; numerical diffusion (en)
http://linked.open.../riv/klicoveSlovo	anisotropic diffusion finite volume method antidissipative scheme numerical diffusion Allen-Cahn equation
http://linked.open...ontrolniKodProRIV	[EB377FD63E5E]
http://linked.open...v/mistoKonaniAkce	Podbanske
http://linked.open...i/riv/mistoVydani	Bratislava
http://linked.open...i/riv/nazevZdroje	Algoritmy 2009 Proceedings of Contributed Papers and Posters
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	The Nečas Center for Mathematical Modeling
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Strachota, Pavel
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000267157200014
http://linked.open.../riv/zahajeniAkce	2009-03-15 (xsd:date)
number of pages	9 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Slovenská technická univerzita v Bratislave. Stavebná fakulta
https://schema.org/isbn	978-80-227-3032-7
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation

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