Results 31 to 40 of about 9,915 (287)

Smoothness-Increasing Accuracy-Conserving (SIAC) filtering and quasi interpolation: A unified view [PDF]

, 2016
Filtering plays a crucial role in postprocessing and analyzing data in scientific and engineering applications. Various application-specific filtering schemes have been proposed based on particular design criteria. In this paper, we focus on establishing
B Cockburn, C de Boor, C DeBoor, D Walfisch, E Cohen, E Vuçini, H Mirzaee, H Mirzaee, H Mirzaee, H Mirzaee, J King, Jennifer K. Ryan, JH Bramble, JK Ryan, L Ji, L Ji, M Mirzargar, M Steffen, M Unser, M Unser, M Unser, M Unser, Mahsa Mirzargar, P van Slingerland, Robert M. Kirby, V Thomée   +25 more
core   +1 more source

Quasi-interpolation in the Fourier algebra

Journal of Approximation Theory, 2007
In this paper, the most interesting topic of quasi-interpolation by the so-called Schoenberg operator is studied. This is an important operator especially in univariate and multivariate spline theory, as well as in, for example, the theory of radial basis functions. Here, the convergence of these operators in certain algebras is studied.
Hans Georg Feichtinger, Norbert Kaiblinger   +1 more
openaire   +3 more sources

Interpolative Kannan Contractions in T0-Quasi-Metric Spaces

Journal of Mathematics, 2021
In this paper, we update the well-known fixed point theorem of Kannan using the interpolation notion in the realm of quasi-metric spaces. We consider some asymmetric versions. We also present some illustrative examples in support of the obtained results.
Yaé Ulrich Gaba, Maggie Aphane, Hassen Aydi   +2 more
doaj   +1 more source

Quasi-interpolation projectors for subdivision function spaces

Graphical Models
Subdivision surfaces as an extension of splines have become a promising technique for addressing PDEs on models with complex topologies in isogeometric analysis.
Hailun Xu, Zepeng Wen, Hongmei Kang
doaj   +1 more source

Quasi-Interpolation in a Space of C² Sextic Splines over Powell–Sabin Triangulations

Mathematics, 2021
In this work, we study quasi-interpolation in a space of sextic splines defined over Powell–Sabin triangulations. These spline functions are of class C2 on the whole domain but fourth-order regularity is required at vertices and C3 regularity is imposed ...
Salah Eddargani, María José Ibáñez, Abdellah Lamnii, Mohamed Lamnii, Domingo Barrera   +4 more
doaj   +1 more source

Local RBF approximation for scattered data fitting with bivariate splines [PDF]

, 2005
In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck, A. Iske, H. Wendland, J.R. McMahon, K. Jetter, L.L. Schumaker, M.S. Floater, O. Davydov, R. Schaback, R. Schaback   +9 more
core   +2 more sources

Multilevel Quasi-Interpolation on Chebyshev Sparse Grids

Computation
This paper investigates the potential of utilising multilevel quasi-interpolation techniques on Chebyshev sparse grids for complex numerical computations.
Faisal Alsharif
doaj   +1 more source

Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis

, 2019
We define a conforming B-spline discretisation of the de Rham complex on multipatch geometries. We introduce and analyse the properties of interpolation operators onto these spaces which commute w.r.t. the surface differential operators.
Buffa, Annalisa, Dölz, Jürgen, Kurz, Stefan, Schöps, Sebastian, Vázques, Rafael, Wolf, Felix   +5 more
core   +1 more source

Near-best $C^2$ quartic spline quasi-interpolants on type-6 tetrahedral partitions of bounded domains

, 2014
In this paper, we present new quasi-interpolating spline schemes defined on 3D bounded domains, based on trivariate $C^2$ quartic box splines on type-6 tetrahedral partitions and with approximation order four.
Dagnino, Catterina, Lamberti, Paola, Remogna, Sara   +2 more
core   +1 more source

A Posteriori Error Estimation for the p-curl Problem

, 2020
We derive a posteriori error estimates for a semi-discrete finite element approximation of a nonlinear eddy current problem arising from applied superconductivity, known as the $p$-curl problem. In particular, we show the reliability for non-conforming N\
Laforest, Marc, Wan, Andy T. S.
core   +1 more source