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pro vyhledávání: '"Lyche, Tom"'
Quadrature rules for [formula omitted] quadratic spline finite elements on the Powell–Sabin 12-split
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 October 2024 430
Publikováno v:
Foundations of Computational Mathematics 22(5), 1309-1350 (2022)
In this paper, we address the problem of constructing $C^2$ cubic spline functions on a given arbitrary triangulation $\mathcal{T}$. To this end, we endow every triangle of $\mathcal{T}$ with a Wang-Shi macro-structure. The $C^2$ cubic space on such
Externí odkaz:
http://arxiv.org/abs/2110.07907
Publikováno v:
In Applied Mathematics and Computation 1 February 2024 462
Autor:
Lyche, Tom, Muntingh, Georg
For spaces of constant, linear, and quadratic splines of maximal smoothness on the Powell-Sabin 12-split of a triangle, the so-called S-bases were recently introduced. These are simplex spline bases with B-spline-like properties on the 12-split of a
Externí odkaz:
http://arxiv.org/abs/1901.06885
Publikováno v:
In Journal of Approximation Theory May 2023 289
Autor:
Bressan, Andrea, Lyche, Tom
This paper analyzes the approximation properties of spaces of piece-wise tensor product polynomials over box meshes with a focus on application to IsoGeometric Analysis (IGA). The errors are measured in Lebesgue norms. Estimates of different types ar
Externí odkaz:
http://arxiv.org/abs/1803.08266
Autor:
Lyche, Tom, Muntingh, Georg
Publikováno v:
Multivariate Splines and Algebraic Geometry. Oberwolfach Report 12 (2015), Pages 1169 - 1172
For the space $\mathcal{S}$ of $C^3$ quintics on the Powell-Sabin 12-split of a triangle, we determine the simplex splines in $\mathcal{S}$ and the six symmetric simplex spline bases that reduce to a B-spline basis on each edge, have a positive parti
Externí odkaz:
http://arxiv.org/abs/1505.01801
Autor:
Lyche, Tom, Muntingh, Georg
For the space of $C^3$ quintics on the Powell-Sabin 12-split of a triangle, we determine explicitly the six symmetric simplex spline bases that reduce to a B-spline basis on each edge, have a positive partition of unity, a Marsden identity that split
Externí odkaz:
http://arxiv.org/abs/1504.02628
Autor:
Lyche, Tom, Muntingh, Georg
Publikováno v:
Computer Aided Geometric Design. Volume 31, Issues 7 - 8, October 2014, Pages 464 - 474
In order to construct a $C^1$-quadratic spline over an arbitrary triangulation, one can split each triangle into 12 subtriangles, resulting in a finer triangulation known as the Powell-Sabin 12-split. It has been shown previously that the correspondi
Externí odkaz:
http://arxiv.org/abs/1312.0030
Publikováno v:
Manni, Carla Speleers, Hendrik Lyche, Tom . A local simplex spline basis for C3 quartic splines on arbitrary triangulations. Applied Mathematics and Computation. 2024, 462
Applied Mathematics and Computation
Applied Mathematics and Computation
Externí odkaz:
http://hdl.handle.net/10852/105291