Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions

Cao W; Demkowicz L

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Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions

机译：基于投影的插值的最佳误差估计，用于三维p阶近似

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摘要

Optimal p-interpolation error estimate is derived for the local, projection-based interpolation for H-1-conforming elements in three space dimensions. Two different procedures leading to the same logarithmic term ln(3/2)p in the estimate, are discussed. (c) 2005 Elsevier Ltd. All rights reserved.

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《Computers & mathematics with applications》 |2005年第4期|p. 359-366|共8页
作者
Cao W; Demkowicz L;
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作者单位

Univ Texas, Dept Appl Math, San Antonio, TX 78249 USA;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
the p-version of the finite-element method; error estimate; FINITE-ELEMENT-METHOD; POLYNOMIALS; SPACES;

机译：有限元方法的p版本;误差估计;有限元方法;多项式;空间;

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1. Optimal estimates for lower and upper bounds of approximation errors in the p-version of the finite element method in two dimensions [J] . Babuska I., Guo BQ. Numerische Mathematik . 2000,第2期

机译：二维有限元方法p版本中近似误差上下限的最佳估计
2. H~1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions Quasi-optimal p-interpolation estimates [J] . L. Demkowicz, A. Buffa Computer Methods in Applied Mechanics and Engineering . 2005,第2a5期

机译：三维中H〜1，H（curl）和H（div）符合投影的插值拟最优p插值估计
3. OPTIMAL LOWER ESTIMATES FOR THE WORST CASE CUBATURE ERROR AND THE APPROXIMATION BY HYPERINTERPOLATION OPERATORS IN THE SOBOLEV SPACE SETTING ON THE SPHERE [J] . HEPING WANG International Journal of Wavelets, Multiresolution and Information Processing . 2009,第6期

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4. Optimal Error Estimates for hp - Finite Element Approximations of Distributed Parameter LQR Control Problems* [C] . J. A. Burns, J. Cheung Annual American Control Conference . 2020

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5. Error estimates for nodal and short characteristics spatial approximations of two-dimensional discrete ordinates method [D] . Duo, Jose Ignacio 2008

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6. Model errors in tree biomass estimates computed with an approximation to a missing covariance matrix [O] . Steen Magnussen, Oswaldo Ismael Carillo Negrete 2015

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7. Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions [O] . Cao W., Demkowicz L. 2005

机译：基于投影的插值的最优误差估计，用于三维p阶近似
8. An Analysis of the p-Version of the Finite Element Method for Nearly Incompressible Materials. Uniformly Valid, Optimal Error Estimates. [R] . Vogelius, M. 1982

机译：几乎不可压缩材料有限元方法的p版分析。一致有效，最佳误差估计。

Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions

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