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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F09%3A00155315" target="_blank" >RIV/68407700:21340/09:00155315 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Antidissipative Numerical Schemes for the Anisotropic Diffusion Operator in Problems for the Allen-Cahn Equation
Original language 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.
Czech name
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Czech description
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Project
<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Algoritmy 2009 Proceedings of Contributed Papers and Posters
ISBN
978-80-227-3032-7
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
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Publisher name
Slovak University of Technology, Faculty of Civil Engineering
Place of publication
Bratislava
Event location
Podbanske
Event date
Mar 15, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000267157200014

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