Add to ORKGAbstract. Macro-elements of smoothness C r are constructed on Powell-Sabin-12 splits of a triangle for all r ≥ 0. These new elements complement those recently constructed on Powell-Sabin-6 splits [5,12], and can be used to construct convenient superspline spaces with stable local bases and full approximation power that can be applied to the solution of boundary-value problems and for interpolation of Hermite data
The quadrature rule of Hammer and Stroud [16] for cubic polynomials has been shown to be exact for a...
We analyze the space of smooth spline functions on quad-meshes. These functions are composed of 4-sp...
summary:A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an...
We introduce a simplex spline basis for a space of C^1-quadratics on the well-known Powell-Sabin 12-...
For the space of \(C^3\) quintics on the Powell–Sabin 12-split of a triangle, we determine explicitl...
In order to construct a C1-quadratic spline over an arbitrary triangulation, one can split each tria...
In this thesis, we investigate the hierarchical bases of C¹ quadratic spline functions on Powell-Sab...
In this paper we look at different bases for the space S^1_2(Δ_{PS}) of C^1 continuous quadratic spl...
Starting from a general B-spline representation for C1 cubic Powell-Sabin splines on arbitrary trian...
The space of C1 cubic Clough-Tocher splines is a classical finite element approximation space over t...
n this paper we look at different bases for the space S^1_2(Δ_PS) of C^1 continuous quadratic spline...
In this paper we show that the normalized Powell-Sabin B-splines form a stable basis for the max nor...
AbstractIn 1988, Worsey and Piper constructed a trivariate macro-element based on C1 quadratic splin...
AbstractA bivariate C1 cubic super spline is constructed on Powell–Sabin type-1 split with the addit...
Nonnegative bivariate interpolants to scattered data are constructed using some macro-element spline...
The quadrature rule of Hammer and Stroud [16] for cubic polynomials has been shown to be exact for a...
We analyze the space of smooth spline functions on quad-meshes. These functions are composed of 4-sp...
summary:A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an...
We introduce a simplex spline basis for a space of C^1-quadratics on the well-known Powell-Sabin 12-...
For the space of \(C^3\) quintics on the Powell–Sabin 12-split of a triangle, we determine explicitl...
In order to construct a C1-quadratic spline over an arbitrary triangulation, one can split each tria...
In this thesis, we investigate the hierarchical bases of C¹ quadratic spline functions on Powell-Sab...
In this paper we look at different bases for the space S^1_2(Δ_{PS}) of C^1 continuous quadratic spl...
Starting from a general B-spline representation for C1 cubic Powell-Sabin splines on arbitrary trian...
The space of C1 cubic Clough-Tocher splines is a classical finite element approximation space over t...
n this paper we look at different bases for the space S^1_2(Δ_PS) of C^1 continuous quadratic spline...
In this paper we show that the normalized Powell-Sabin B-splines form a stable basis for the max nor...
AbstractIn 1988, Worsey and Piper constructed a trivariate macro-element based on C1 quadratic splin...
AbstractA bivariate C1 cubic super spline is constructed on Powell–Sabin type-1 split with the addit...
Nonnegative bivariate interpolants to scattered data are constructed using some macro-element spline...
The quadrature rule of Hammer and Stroud [16] for cubic polynomials has been shown to be exact for a...
We analyze the space of smooth spline functions on quad-meshes. These functions are composed of 4-sp...
summary:A way of data approximation called smooth was introduced by Talmi and Gilat in 1977. Such an...