6 papers · 1 filter
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 family of quadrilateral finite elements
Mario Kapl, Giancarlo Sangalli, Thomas Takacs
We present a novel family of quadrilateral finite elements, which define global spaces over a general quadrilateral mesh with vertices of arbitrary valency. The element…
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…
Isogeometric analysis with hierarchical functions on planar two-patch geometries
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain t…