Isogeometric analysis with geometrically continuous functions on two-patch geometriesKapl, Mario (Avtor) Vitrih, Vito (Avtor) Jüttler, Bert (Avtor) Birner, Katharina (Avtor) izogeometrična analizageometrijska zveznostgeometrijsko vzezne izogeometrične funkcijebiharmonična enačbaisogeometric analysisgeometric continuitygeometrically continuous isogeometric functionsbiharmonic equationmulti-patch domainWe 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.20152015-10-15 05:57:55Delo ni kategorizirano7159ISSN: 0898-1221UDK: 519.6OceCobissID: 15336965DOI: 10.1016/j.camwa.2015.04.004COBISS.SI-ID: 1537819588sl