A Quantitative Criterion for Artificial Diffusion in Numerical Schemes

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00173941" target="_blank" >RIV/68407700:21340/10:00173941 - 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

A Quantitative Criterion for Artificial Diffusion in Numerical Schemes

Original language description

In the course of tuning the developed numerical algorithm for MR-DTI 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.

Czech name

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Czech description

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Type

D - Article in proceedings

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

2010

Confidentiality

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

Article name in the collection

Doktorandské dny 2010

ISBN

978-80-01-04644-9

ISSN

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e-ISSN

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Number of pages

9

Pages from-to

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Publisher name

Česká technika - nakladatelství ČVUT

Place of publication

Praha

Event location

Praha

Event date

Nov 19, 2010

Type of event by nationality

CST - Celostátní akce

UT code for WoS article

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