Computational Investigation and Assessment of Numerical Schemes for Anisotropic Diffusion Equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F12%3A00194896" target="_blank" >RIV/68407700:21340/12:00194896 - 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

Computational Investigation and Assessment of Numerical Schemes for Anisotropic Diffusion Equations

Original language description

In the course of tuning the developed numerical algorithm for DT-MRI data visualization, it was necessary to introduce a measurement technique capable of quantitatively assessing the artificial isotropic diffusion in numerical schemes for PDE. Based on such assessment, a qualified choice of the numerical scheme can be made. This contribution describes the proposed measurement technique based on total variation evaluation. The procedure is applied to several numerical discretizations of the anisotropic diffusion model based on the Allen-Cahn equation and the obtained results are presented. For comparison, the traditional experimental order of convergence measurements are also provided to show their irrelevance in numerical diffusion quantification for the studied problem.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

COE Lecture Note Series: Kyushu University

ISSN

1881-4042

e-ISSN

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Volume of the periodical

36

Issue of the periodical within the volume

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Country of publishing house

JP - JAPAN

Number of pages

11

Pages from-to

73-83

UT code for WoS article

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EID of the result in the Scopus database

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