Results 31 to 40 of about 949,851 (307)

Bivariate spline interpolation with optimal approximation order [PDF]

, 2001
Let be a triangulation of some polygonal domain f c R2 and let S9 (A) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to A.
A. Kh. Ibrahim, A. Zeníšek, C. Boor de, C. Boor de, C. Boor de, C. Coatmélec, C. K. Chui, C. K. Chui, C. K. Chui, D. Hong, F. Jeeawock-Zedek, F. Zeilfelder, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Strang, J. M. Carnicer, J. Morgan, L. L. Schumaker, M. J. Lai, O. Davydov, O. Davydov, O. Davydov, O. Davydov, O. Davydov, P. G. Ciarlet, Z. Sha, Z. Sha   +31 more
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Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors [PDF]

, 2015
This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The stabilization is of Petrov-Galerkin type with a standard finite element trial
A. Abdulle, A. Abdulle, A. Målqvist, A. Målqvist, A. Målqvist, C. Carstensen, C. Makridakis, D. Elfverson, D. Elfverson, D. Elfverson, D. Gallistl, D. Peterseim, D.B. Szyld, G. Rozza, H. Owhadi, H. Wu, I. Babuska, I. Babuška, J.A. Cottrell, J.A. Cottrell, J.M. Melenk, J.M. Melenk, J.M. Melenk, L. Demkowicz, L. Grasedyck, L.R. Scott, M.G. Larson, M.G. Larson, O. Cessenat, P. Cummings, P. Henning, P. Henning, P. Henning, P. Henning, R. Hiptmair, R. Tezaur, T. Betcke, T. Hughes, T.J.R. Hughes, T.J.R. Hughes, U. Hetmaniuk, X. Feng   +41 more
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Assessment of Interpolation Errors of CYGNSS Soil Moisture Estimations

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021
High spatiotemporal soil moisture (SM) is essential for many meteorological, hydrological, and agricultural applications and studies. Spaceborne Global Navigation Satellite System-Reflectometry (GNSS-R) provides a promising opportunity for high ...
Volkan Senyurek, Ali Cafer Gurbuz, Mehmet Kurum   +2 more
doaj   +1 more source

Spline quasi‐interpolation in the Bernstein basis and its application to digital elevation models

Mathematical methods in the applied sciences, 2022
A nonstandard low‐cost spline approximation method for approximating bivariate functions is constructed. It is applied for Digital Elevation approximation and then its accuracy in the downscaling process is studied.
F. Ariza-López, D. Barrera, S. Eddargani, M. Ibáñez, J. F. Reinoso   +4 more
semanticscholar   +1 more source

Numerical Solution of High-Dimensional Shockwave Equations by Bivariate Multi-Quadric Quasi-Interpolation

Mathematics, 2019
Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang, Chungang Zhu, Qinjiao Gao   +2 more
doaj   +1 more source

Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

Comptes Rendus. Mathématique, 2023
We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of the fractional-order Sobolev spaces. By assuming that the target field enjoys an additional integrability property on its curl or its
Dong, Zhaonan, Ern, Alexandre, Guermond, Jean-Luc   +2 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
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Minimizing the quasi-interpolation error for bivariate discrete quasi-interpolants

Journal of Computational and Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barrera-Rosillo, Domingo, Ibáñez-Pérez, María José   +1 more
openaire   +1 more source

A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters

Results in Applied Mathematics
The shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
doaj   +1 more source

Approximate Approximations from scattered data

, 2005
The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered data quasi-interpolation.
Lanzara, F., Maz'ya, V., Schmidt, G.
core   +1 more source