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An adaptive IgA-BEM with hierarchical B-splines based on quasi-interpolation quadrature schemesFalini, Antonella ...Preiskujemo izogeometrično formulacijo metode robnih elementov znotraj adaptivnega okolja. Vpeljemo primerna utežena kvadraturna pravila za izračun integralov, ki se pojavijo v Galerkinovi ... formulaciji robnih elementov pri reševanju 2D Laplaceove enačbe. Predstavljene kvadraturne sheme temeljijo na kvazi-interpolaciji (QI) z zlepki in so primerno postavljene v hierarhično okolje. Lokalne lastnosti QI operatorja se odlično prilegajo konstrukciji hierarhičnih zlepkov in botrujejo k učinkoviti in natančni numerični shemi. Residualna cenilka napake usmerja strategijo avtomatičnega adaptivnega zgoščanja. Iz numerični zgledov dobimo optimalni red konvergence za Galerkinove rešitve s pomočjo predlagane adaptivne metode.Source: International journal for numerical methods in engineering. - ISSN 0029-5981 (Vol. 117, iss. 10, Mar. 2019, str. 1038-1058)Type of material - article, component part ; adult, seriousPublish date - 2019Language - englishCOBISS.SI-ID - 18786905
Author
Falini, Antonella |
Giannelli, Carlotta, 1980- |
Kanduč, Tadej, 1985- |
Sampoli, Maria Lucia |
Sestini, Alessandra
Topics
metoda robnih elementov |
hierarhični B-zlepki |
izogeometrična analiza |
lokalno zgoščanje |
kvadraturne formule |
kvazi-interpolacija |
boundary element method |
hierarchical B-splines |
isogeometric analysis |
local refinement |
quadrature formulas |
quasi-interpolation
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Falini, Antonella | |
Giannelli, Carlotta, 1980- | |
Kanduč, Tadej, 1985- | 32770 |
Sampoli, Maria Lucia | |
Sestini, Alessandra |
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