66 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of LjubljanaSI66 papers
- Institute of Mathematics, Physics, and MechanicsSI50 papers
- The University of Western AustraliaAU11 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- University of Milano-BicoccaIT10 papers
- University of NisRS9 papers
- Eötvös Loránd UniversityHU7 papers
- Mississippi State UniversityUS7 papers
- National Research University Higher School of EconomicsRU7 papers
- University of MariborSI7 papers
- AGH University of KrakowPL6 papers
- École Normale Supérieure de LyonFR6 papers
8 papers · 1 filter
-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…
Hermite parametric surface interpolation based on Argyris element
Gasper Jaklic, Tadej Kanduc
In this paper, Hermite interpolation by parametric spline surfaces on triangulations is considered. The splines interpolate points, the corresponding tangent planes and normal curv…
Solving the triharmonic equation over multi-patch domains using isogeometric analysis
Mario Kapl, Vito Vitrih
We present a framework for solving the triharmonic equation over bilinearly parameterized planar multi-patch domains by means of isogeometric analysis. Our approach is based on the…
Dimension and basis construction for -smooth isogeometric spline spaces over bilinear-like two-patch parameterizations
Mario Kapl, Vito Vitrih
A particular class of planar two-patch geometries, called bilinear-like two-patch geometries, is introduced. This class includes the subclass of all bilinear two-patch para…
Space of -smooth geometrically continuous isogeometric functions on planar multi-patch geometries: Dimension and numerical experiments
Mario Kapl, Vito Vitrih
We study the space of -smooth isogeometric functions on bilinearly parameterized multi-patch domains , where the graph of each isogeometric function…
On positivity of principal minors of bivariate Bezier collocation matrix
Gasper Jaklic, Tadej Kanduc
It is well known that the bivariate polynomial interpolation problem at domain points of a triangle is correct. Thus the corresponding interpolation matrix is nonsingular. L.L.…