6 papers
An adaptive Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) method for multi-patch structured Kirchhoff--Love plates
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present a novel adaptive isogeometric method for solving the Kirchhoff-Love plate problem for plates whose mid-surface is defined by a planar multi-patch domain with possibly ex…
An Isogeometric Tearing and Interconnecting (IETI) method for solving high order partial differential equations over planar multi-patch geometries
Mario Kapl, Aljaž Kosmač, 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 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…
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…
Isogeometric collocation for solving the biharmonic equation over planar multi-patch domains
Mario Kapl, Aljaž Kosmač, Vito Vitrih
We present an isogeometric collocation method for solving the biharmonic equation over planar bilinearly parameterized multi-patch domains. The developed approach is based on the u…
A locally based construction of analysis-suitable multi-patch spline surfaces
Andrea Farahat, Mario Kapl, Aljaž Kosmač +1
Analysis-suitable (AS-) multi-patch spline surfaces [4] are particular -smooth multi-patch spline surfaces, which are needed to ensure the construction of -smo…