Error estimates for multilevel approximation using polyharmonic splines

被引：14

作者：

Hales, SJ ^{[1
]}

Levesley, J ^{[1
]}

机构：

[1] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England

来源：

NUMERICAL ALGORITHMS | 2002年 / 30卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

multilevel approximation; polyharmonic splines; convergence;

D O I：

10.1023/A:1015674607196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Polyharmonic splines are used to interpolate data in a stationary multilevel iterative refinement scheme. By using such functions the necessary tools are provided to obtain simple pointwise error bounds on the approximation. Linear convergence between levels is shown for regular data on a scaled multiinteger grid, and a multilevel domain decomposition method.

引用

页码：1 / 10

页数：10

共 50 条

[1] Error Estimates for Multilevel Approximation Using Polyharmonic Splines
S.J. Hales
J. Levesley
Numerical Algorithms, 2002, 30 : 1 - 10
[2] ON ERROR ESTIMATES OF LOCAL APPROXIMATION BY SPLINES
Volkov, Yu. S.
Bogdanov, V. V.
SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (05) : 795 - 802
[3] On Error Estimates of Local Approximation by Splines
Yu. S. Volkov
V. V. Bogdanov
Siberian Mathematical Journal, 2020, 61 : 795 - 802
[4] Lp error estimates for approximation by Sobolev splines and Wendland functions on ℝd
John Paul Ward
Advances in Computational Mathematics, 2013, 38 : 873 - 889
[5] APPROXIMATION ERROR-ESTIMATES FOR INTERPOLATING AND SMOOTHING (M,S)-SPLINES
DESILANES, MCL
ARCANGELI, R
NUMERISCHE MATHEMATIK, 1989, 56 (05) : 449 - 467
[6] Error Estimates for Polyharmonic Cubature Formulas
Render, Hermann
Kounchev, Ognyan
DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2013, 6 : 62 - 73
[7] EXACT ESTIMATES OF THE LAPLACIAN OF A POLYHARMONIC FUNCTION AND APPROXIMATION THROUGH POLYHARMONIC FUNCTIONS
KOUNCHEV, OI
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1990, 43 (04): : 27 - 30
[8] MULTIVARIATE INTERPOLATION USING POLYHARMONIC SPLINES
Segeth, Karel
ACTA POLYTECHNICA, 2021, 61 : 148 - 154
[9] A Priori Error Estimates for the Finite Element Approximation of a Nonlocal Kirchhoff Problem Using Web-Splines
Chaudhary S.
Srinivas Kumar V.V.K.
International Journal of Applied and Computational Mathematics, 2017, 3 (1) : 107 - 118
[10] Approximation error estimates and inverse inequalities for B-splines of maximum smoothness
Takacs, Stefan
Takacs, Thomas
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2016, 26 (07): : 1411 - 1445

← 1 2 3 4 5 →