Tuesday, 26 April 2016, 3 p.m. (sharp), Dr. Mario Kapl, Austrian Academy of Sciences, at the conference room of IMATI-CNR in Pavia, will give a lecture titled:
ISOGEOMETRIC ANALYSIS WITH C^1-SMOOTH ISOGEOMETRIC FUNCTIONS
as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).
At the end a refreshment will be organized.
We study the space of bicubic and biquartic C^1-smooth isogeometric
functions defined on a bilinearly parameterized multi-patch domain Ω ⊂
R^2. 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 C^1-smooth isogeometric functions for performing L^2
approximation and for solving Poisson’s equation and the biharmonic
equation on different multi-patch geometries are presented and
indicate optimal rates of convergence.
Pagina web del Seminario di Matematica Applicata: