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Title:Isogeometric analysis with geometrically continuous functions on two-patch geometries
Authors:Jüttler, Bert (Author)
Vitrih, Vito (Author)
Kapl, Mario (Author)
Birner, Katharina (Author)
Files:URL http://ac.els-cdn.com/S089812211500173X/1-s2.0-S089812211500173X-main.pdf?_tid=94ebf26e-65c7-11e5-a690-00000aacb361&acdnat=1443434537_5c4ed1d7a1642c0eac8eaa8cb06546b8
 
Language:English
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract:We study the linear space of Cs-smooth isogeometric functions defined on a multi-patch domain % % R2. We show that the construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design. More precisely, the Cs-smoothness of isogeometric functions is found to be equivalent to geometric smoothness of the same order (Gs-smoothness) of their graph surfaces. This motivates us to call them Cs-smooth geometrically continuous isogeometric functions. We present a general framework to construct a basis and explore potential applications in isogeometric analysis. The space of C1-smooth geometrically continuous isogeometric functions on bilinearly parameterized two-patch domains is analyzed in more detail. Numerical experiments with bicubic and biquartic functions for performing L2 approximation and for solving Poisson%s equation and the biharmonic equation on two-patch geometries are presented and indicate optimal rates of convergence.
Keywords:izogeometrična analiza, geometrijska zveznost, geometrijsko vzezne izogeometrične funkcije, biharmonična enačba, isogeometric analysis, geometric continuity, geometrically continuous isogeometric functions, biharmonic equation, multi-patch domain
Year of publishing:2015
Number of pages:str. 1518-1538
Numbering:Vol. 70, iss. 7
ISSN:0898-1221
UDC:519.6
COBISS_ID:1537819588 Link is opened in a new window
DOI:10.1016/j.camwa.2015.04.004 Link is opened in a new window
Views:1327
Downloads:112
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