Approximation of large data from the finite element analysis allowing fast post-processing
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F16%3A00242422" target="_blank" >RIV/68407700:21110/16:00242422 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1016/j.advengsoft.2016.02.008" target="_blank" >http://dx.doi.org/10.1016/j.advengsoft.2016.02.008</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.advengsoft.2016.02.008" target="_blank" >10.1016/j.advengsoft.2016.02.008</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Approximation of large data from the finite element analysis allowing fast post-processing
Popis výsledku v původním jazyce
The article describes efficient methods to visualize the results from finite element analysis and implementation of these methods in post-processing results. The work is based on premise that computer memory and performance are limited and amount of data processed by complex finite element analysis is enormous. Therefore, some kind of simplification and approximation of resulting data has to be used. Multigrid method was the inspiration for research work and development of post-processor. The stored data from finite element analysis are discrete values. The paper deals with several ways of replacing them by continuous functions suitable for representation in computer graphics, which are different from the approximation functions used in finite element method. Special attention is devoted to approximation errors - difference between these functions. Finite element mesh is decomposed into subdomains with respect to approximation errors. The ways of creating mesh hierarchy are described in details and also the possibilities of nodal value interpolations in simplified mesh are discussed in the text. Besides the approximation of data in space, also the approximation in time is used. Pseudo-code of the approximation algorithm key parts is shown. Various types of approximation functions were investigated to reach the lowest approximation error and the highest compression factor. Results are summarized in the article.
Název v anglickém jazyce
Approximation of large data from the finite element analysis allowing fast post-processing
Popis výsledku anglicky
The article describes efficient methods to visualize the results from finite element analysis and implementation of these methods in post-processing results. The work is based on premise that computer memory and performance are limited and amount of data processed by complex finite element analysis is enormous. Therefore, some kind of simplification and approximation of resulting data has to be used. Multigrid method was the inspiration for research work and development of post-processor. The stored data from finite element analysis are discrete values. The paper deals with several ways of replacing them by continuous functions suitable for representation in computer graphics, which are different from the approximation functions used in finite element method. Special attention is devoted to approximation errors - difference between these functions. Finite element mesh is decomposed into subdomains with respect to approximation errors. The ways of creating mesh hierarchy are described in details and also the possibilities of nodal value interpolations in simplified mesh are discussed in the text. Besides the approximation of data in space, also the approximation in time is used. Pseudo-code of the approximation algorithm key parts is shown. Various types of approximation functions were investigated to reach the lowest approximation error and the highest compression factor. Results are summarized in the article.
Klasifikace
Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
JM - Inženýrské stavitelství
OECD FORD obor
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Návaznosti výsledku
Projekt
<a href="/cs/project/GA15-05935S" target="_blank" >GA15-05935S: Vývoj termo-hydro-mechanického modelu pro expanzívní zeminy a simulace úložiště radioaktivních odpadů</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2016
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Advances in Engineering Software
ISSN
0965-9978
e-ISSN
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Svazek periodika
97
Číslo periodika v rámci svazku
July
Stát vydavatele periodika
GB - Spojené království Velké Británie a Severního Irska
Počet stran výsledku
12
Strana od-do
17-28
Kód UT WoS článku
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EID výsledku v databázi Scopus
2-s2.0-84960358562