4 papers · 1 filter
An adaptive Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) method for solving the biharmonic equation over planar multi-patch geometries
Mario Kapl, Aljaž KosmaÄ, Vito Vitrih
We present a novel adaptive isogeometric method for solving the biharmonic equation over planar multi-patch domains with possibly extraordinary vertices, parametrized by analysis-s…
An Isogeometric Tearing and Interconnecting (IETI) method for solving high order partial differential equations over planar multi-patch geometries
Mario Kapl, Aljaž KosmaÄ, Vito Vitrih
We present a novel method for solving high-order partial differential equations (PDEs) over planar multi-patch geometries demonstrated on the basis of the polyharmonic equation of…
Isogeometric collocation with smooth mixed degree splines over planar multi-patch domains
Mario Kapl, Aljaž KosmaÄ, 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…
A C^s-smooth mixed degree and regularity isogeometric spline space over planar multi-patch domains
Mario Kapl, Aljaž KosmaÄ, 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…