Results 41 to 50 of about 949,851 (307)

Quasi-interpolations with interpolation property

Journal of Computational and Applied Mathematics, 2004
Let \(\Omega \subset \mathbb R^s\) and \(B(\Omega)\) be the set consisting in all bounded functions over \(\Omega\). Let \(T:B(\Omega) \to B(\Omega)\) be a linear operator and \(X=\{ x_1,\ldots,x_r \}\) a set of points. \(T\) is called a linear operator with interpolation property (A) if \((Tf)(x_j)=f(x_j)\) for any \(f \in B(\Omega)\) and \(j=1,\ldots,
Wang, Ren-Hong, Wang, Jing-Xin
openaire   +1 more source

Quasi-Interpolation on Chebyshev Grids with Boundary Corrections

Computation
Quasi-interpolation is a powerful tool for approximating functions using radial basis functions (RBFs) such as Gaussian kernels. This avoids solving large systems of equations as in RBF interpolation. However, quasi-interpolation with Gaussian kernels on
Faisal Alsharif
doaj   +1 more source

A localized orthogonal decomposition method for semi-linear elliptic problems [PDF]

, 2013
In this paper we propose and analyze a new Multiscale Method for solving semi-linear elliptic problems with heterogeneous and highly variable coefficient functions.
Henning, Patrick, Malqvist, Axel, Peterseim, Daniel   +2 more
core   +2 more sources

Quasi Interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein–Gordon and sine-Gordon equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2020
We propose a new approach for solving nonlinear Klein–Gordon and sine-Gordon equations based on radial basis function-pseudospectralmethod (RBF-PS). The proposed numerical method is based on quasiinterpolation of radial basis function differentiation ...
M. Emamjomeh, S. Abbasbandy, D. Rostamy
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

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

Tensor product approximations of high dimensional potentials [PDF]

, 2009
The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this approach with modern methods of structured tensor product approximations.
Lanzara, Flavia, Maz'ya, Vladimir, Schmidt, Gunther   +2 more
core   +3 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

An adaptive IgA‐BEM with hierarchical B‐splines based on quasi‐interpolation quadrature schemes [PDF]

International Journal for Numerical Methods in Engineering, 2018
The isogeometric formulation of the boundary element method (IgA‐BEM) is investigated within the adaptivity framework. Suitable weighted quadrature rules to evaluate integrals appearing in the Galerkin BEM formulation of 2D Laplace model problems are ...
Antonella Falini, Carlotta Giannelli, Tadej Kanduč, M. Sampoli, A. Sestini   +4 more
semanticscholar   +1 more source

Multimodal Mechanical Testing of Additively Manufactured Ti6Al4V Lattice Structures: Compression, Bending, and Fatigue

Advanced Engineering Materials, EarlyView.
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart, Jonas Schmidt, Anastasiya Toenjes, Johanna Eisenträger   +3 more
wiley   +1 more source