AbstractA deterrent to application of rational basis functions over algebraic elements has been the need to compute denominator polynomials (element adjoints) from multiple points of the element boundary. Dasgupta devised a simple algorithm for eliminating this problem for convex polygons. This algorithm is described here and generalized to elements with curved sides
The µ-bases of rational curves/surfaces are newly developed tools which play an important role in co...
AbstractThe purpose of this paper is to introduce a technique for constructing smooth interpolants o...
In this thesis, we introduce and study a new implicit representation of rational curves of arbitrary...
AbstractA deterrent to application of rational basis functions over algebraic elements has been the ...
AbstractIn [1] rational basis functions were developed for patchwork C0 approximation over partition...
AbstractIn this paper, construction of rational basis functions for curved elements is reviewed, som...
AbstractPolynomials suffice as finite element basis functions for triangles, parallelograms, and som...
AbstractA numerical method of calculating all of the polynomial coefficients for Wachspress' rationa...
AbstractIn Wachspress (1975) [2] rational bases were constructed for convex polyhedra whose vertices...
AbstractThis paper describes an algebraic approach to computing the system of adjoint curves to a gi...
I describe an exact method for computing roots of a system of multivariate polynomials with rational...
AbstractIn Wachspress (1975) [1], theory was developed for constructing rational basis functions for...
AbstractA conforming polynomial second order basis for the three sided two-dimensional finite elemen...
Affine algebraic curves are a tool applied in different fields, for instance CAGD. They are defined ...
International audienceThe word "adjoint" refers to several definitions which are not all equivalent:...
The µ-bases of rational curves/surfaces are newly developed tools which play an important role in co...
AbstractThe purpose of this paper is to introduce a technique for constructing smooth interpolants o...
In this thesis, we introduce and study a new implicit representation of rational curves of arbitrary...
AbstractA deterrent to application of rational basis functions over algebraic elements has been the ...
AbstractIn [1] rational basis functions were developed for patchwork C0 approximation over partition...
AbstractIn this paper, construction of rational basis functions for curved elements is reviewed, som...
AbstractPolynomials suffice as finite element basis functions for triangles, parallelograms, and som...
AbstractA numerical method of calculating all of the polynomial coefficients for Wachspress' rationa...
AbstractIn Wachspress (1975) [2] rational bases were constructed for convex polyhedra whose vertices...
AbstractThis paper describes an algebraic approach to computing the system of adjoint curves to a gi...
I describe an exact method for computing roots of a system of multivariate polynomials with rational...
AbstractIn Wachspress (1975) [1], theory was developed for constructing rational basis functions for...
AbstractA conforming polynomial second order basis for the three sided two-dimensional finite elemen...
Affine algebraic curves are a tool applied in different fields, for instance CAGD. They are defined ...
International audienceThe word "adjoint" refers to several definitions which are not all equivalent:...
The µ-bases of rational curves/surfaces are newly developed tools which play an important role in co...
AbstractThe purpose of this paper is to introduce a technique for constructing smooth interpolants o...
In this thesis, we introduce and study a new implicit representation of rational curves of arbitrary...
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