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Isogeometric Analysis with C^1-smooth isogeometric functions
Dr. Mario Kapl, Austrian Academy of Sciences
Sala Conferenze, IMATI-CNR - Martedì 26 Aprile 2016 h.15:00
Abstract. We study the space of bicubic and biquartic C1-smooth isogeometric functions defined on a bilinearly parameterized multi-patch domain Ω ⊂ R2. More precisely, we analyze the dimension of this space and present a framework for generating a basis. The construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design. The resulting basis functions are desribed by simple explicit formulas for their spline coefficients. In addition, numerical experiments with bicubic and biquartic C1-smooth isogeometric functions for performing L2 approximation and for solving Poisson’s equation and the biharmonic equation on different multi-patch geometries are presented and indicate optimal rates of convergence.
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