7 citations · 13 across the 7 of their papers we have counts for
7 papers
A representation and comparison of three cubic macro-elements
Ema Češek, Jan Grošelj, Andrej Kolar-Požun +4
The paper is concerned with three types of cubic splines over a triangulation that are characterized by three degrees of freedom associated with each vertex of the triangulation. T…
Isogeometric analysis with cubic Powell-Sabin splines
Jan Grošelj, Ada Šadl Praprotnik, Hendrik Speleers
In this paper, we consider cubic Powell-Sabin splines for the numerical solution of boundary value problems on planar and spatial surface domains. We first review the constru…
Using Geometric Symmetries to Achieve Super-Smoothness for Cubic Powell-Sabin Splines
Jan Grošelj, Hendrik Speleers
In this paper, we investigate super-smoothness of the full cubic spline space on a Powell-Sabin refined triangulation, for which a B-spline basis can be constructed. Bl…
Extraction and application of super-smooth cubic B-splines over triangulations
Jan Grošelj, Hendrik Speleers
The space of cubic Clough-Tocher splines is a classical finite element approximation space over triangulations for solving partial differential equations. However, for such a…
-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements
Jan Grošelj, Mario Kapl, Marjeta Knez +2
Splines over triangulations and splines over quadrangulations (tensor product splines) are two common ways to extend bivariate polynomials to splines. However, combination of both…
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…
Splittable and unsplittable graphs and configurations
Nino Bašić, Jan Grošelj, Branko Grünbaum +1
We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic configurations. We also present a complete study of trivalent cyclic Haar…