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math.NA2024
Isogeometric collocation with smooth mixed degree splines over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present a novel isogeometric collocation method for solving the Poisson's and the biharmonic equation over planar bilinearly parameterized multi-patch geometries. The proposed a…
math.NA2024
A C^s-smooth mixed degree and regularity isogeometric spline space over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We construct over a given bilinear multi-patch domain a novel -smooth mixed degree and regularity isogeometric spline space, which possesses the degree and regularity…
math.NA2024
Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves
Rida T. Farouki, Marjeta Knez, Vito Vitrih +1
By interpreting planar polynomial curves as complex-valued functions of a real parameter, an inner product, norm, metric function, and the notion of orthogonality may be defined fo…