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Statements

Subject Item
n2:RIV%2F68407700%3A21340%2F09%3A00155315%21RIV10-MSM-21340___
rdf:type
skos:Concept n12:Vysledek
dcterms: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.
dcterms: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
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
skos:notation
RIV/68407700:21340/09:00155315!RIV10-MSM-21340___
n3:aktivita
n13:P
n3:aktivity
P(LC06052)
n3:dodaniDat
n7:2010
n3:domaciTvurceVysledku
n20:5409462
n3:druhVysledku
n16:D
n3:duvernostUdaju
n5:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
303465
n3:idVysledku
RIV/68407700:21340/09:00155315
n3:jazykVysledku
n15:eng
n3:klicovaSlova
Allen-Cahn equation; anisotropic diffusion; antidissipative scheme; finite volume method; numerical diffusion
n3:klicoveSlovo
n6:finite%20volume%20method n6:antidissipative%20scheme n6:anisotropic%20diffusion n6:numerical%20diffusion n6:Allen-Cahn%20equation
n3:kontrolniKodProRIV
[EB377FD63E5E]
n3:mistoKonaniAkce
Podbanske
n3:mistoVydani
Bratislava
n3:nazevZdroje
Algoritmy 2009 Proceedings of Contributed Papers and Posters
n3:obor
n10:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n14:LC06052
n3:rokUplatneniVysledku
n7:2009
n3:tvurceVysledku
Strachota, Pavel
n3:typAkce
n18:WRD
n3:wos
000267157200014
n3:zahajeniAkce
2009-03-15+01:00
s:numberOfPages
9
n21:hasPublisher
Slovenská technická univerzita v Bratislave. Stavebná fakulta
n11:isbn
978-80-227-3032-7
n8:organizacniJednotka
21340