Singular Value Decomposition used for compression of results from the Finite Element Method

Kód výsledku v IS VaVaI

RIV/68407700:21110/18:00318102 - isvavai.cz

Výsledek na webu

https://www.sciencedirect.com/science/article/pii/S0965997817306592

DOI - Digital Object Identifier

10.1016/j.advengsoft.2017.12.007

Jazyk výsledku

angličtina

Název v původním jazyce

Singular Value Decomposition used for compression of results from the Finite Element Method

Popis výsledku v původním jazyce

A complex finite element analysis can produce large amount of data that is problematic to post-process in reasonable time. This paper describes application of Singular Value Decomposition (SVD) to the compression of results from finite element solvers. Although the idea of image compression method is an inspiration for this research work, the SVD compression algorithm used for compression of images cannot be directly used for FEM results. Differences and implementation challenges are discussed in the text. Quality of approximation is more important in scientific field than in computer graphics where the most significant factor is the human perception of the resulting image. Error estimation methods used during compression of finite element results are presented. The focus is also on the algorithm performance. SVD is a very computational intensive method. Therefore, various optimization techniques were investigated, e.g. randomized SVD. The method leads to the lower memory consumption, 10% of the original size or less, with negligible compression error.

Název v anglickém jazyce

Singular Value Decomposition used for compression of results from the Finite Element Method

Popis výsledku anglicky

A complex finite element analysis can produce large amount of data that is problematic to post-process in reasonable time. This paper describes application of Singular Value Decomposition (SVD) to the compression of results from finite element solvers. Although the idea of image compression method is an inspiration for this research work, the SVD compression algorithm used for compression of images cannot be directly used for FEM results. Differences and implementation challenges are discussed in the text. Quality of approximation is more important in scientific field than in computer graphics where the most significant factor is the human perception of the resulting image. Error estimation methods used during compression of finite element results are presented. The focus is also on the algorithm performance. SVD is a very computational intensive method. Therefore, various optimization techniques were investigated, e.g. randomized SVD. The method leads to the lower memory consumption, 10% of the original size or less, with negligible compression error.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

GBP105/12/G059: Kumulativní časově závislé procesy ve stavebních materiálech a konstrukcích

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Advances in Engineering Software

ISSN

0965-9978

e-ISSN

1873-5339

Svazek periodika

117

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

8-17

Kód UT WoS článku

000424948400002

EID výsledku v databázi Scopus

2-s2.0-85039989129