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09/03/2022
Locally-verifiable sufficient conditions for exactness of the hierarchical B-spline discrete de Rham complex in ℝ^n
Given a domain Ω⊂ℝ^n, the de Rham complex of differential forms arises n...
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01/27/2022
Almost-C^1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems
Isogeometric Analysis generalizes classical finite element analysis and ...
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11/08/2021
An optimally convergent smooth blended B-spline construction for unstructured quadrilateral and hexahedral meshes
Easy to construct and optimally convergent generalisations of B-splines ...
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12/06/2020
A general class of C^1 smooth rational splines: Application to construction of exact ellipses and ellipsoids
In this paper, we describe a general class of C^1 smooth rational spline...
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01/22/2020
The divergence-conforming immersed boundary method: Application to vesicle and capsule dynamics
We extend the recently introduced divergence-conforming immersed boundar...
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01/22/2020
A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties
In this paper we present an efficient and robust approach to compute a n...
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01/06/2020
Counting the dimension of splines of mixed smoothness: A general recipe, and its application to meshes of arbitrary topologies
In this paper we study the dimension of bivariate polynomial splines of ...
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12/30/2019