6 papers · 1 filter
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…
isogeometric spline space for trilinearly parameterized multi-patch volumes
Mario Kapl, Vito Vitrih
We study the space of isogeometric spline functions defined on trilinearly parameterized multi-patch volumes. Amongst others, we present a general framework for the design of…
-smooth isogeometric spline spaces over planar multi-patch parameterizations
Mario Kapl, Vito Vitrih
The design of globally -smooth () isogeometric spline spaces over multi-patch geometries is a current and challenging topic of research in the framework of isogeomet…
A super-smooth spline space over planar mixed triangle and quadrilateral meshes
Jan Grošelj, Mario Kapl, Marjeta Knez +2
In this paper we introduce a spline space over mixed meshes composed of triangles and quadrilaterals, suitable for FEM-based or isogeometric analysis. In this context, a mesh…
Isogeometric collocation on planar multi-patch domains
Mario Kapl, Vito Vitrih
We present an isogeometric framework based on collocation to construct a -smooth approximation of the solution of the Poisson's equation over planar bilinearly parameterized m…