Approximation of large data from the finite element analysis allowing fast post-processing

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Approximation of large data from the finite element analysis allowing fast post-processing

Original language description

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.

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

JM - Structural engineering

OECD FORD branch

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Project

<a href="/en/project/GA15-05935S" target="_blank" >GA15-05935S: Development of thermo-hydro-mechanical model for expansive soils and simulation of nuclear waste repository</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

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

Name of the periodical

Advances in Engineering Software

ISSN

0965-9978

e-ISSN

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Volume of the periodical

97

Issue of the periodical within the volume

July

Country of publishing house

GB - UNITED KINGDOM

Number of pages

12

Pages from-to

17-28

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-84960358562