A numerical study of a posteriori error estimators for convection--diffusion equations

Volker John

首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A numerical study of a posteriori error estimators for convection--diffusion equations

【24h】

A numerical study of a posteriori error estimators for convection--diffusion equations

机译：对流扩散方程后验误差估计的数值研究

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper presents a numerical study of a posteriori error estimators for convection-diffusion equations. The study involves the gradient indicator, an a posteriori error estimator which is based on gradient recovery, three residual-based error estimators for different norms, and two error estimators which are defined by solutions of local Neumann problems. They are compared with respect to the reliable estimation of the global error and with respect to the accuracy of the computed solutions on adaptively refined grids. The numerical study shows for both criteria of comparison that none of the considered error estimators works satisfactorily in all tests.

机译：本文提出了对流扩散方程后验误差估计量的数值研究。这项研究涉及梯度指标，基于梯度恢复的后验误差估计器，针对不同范数的三个基于残差的误差估计器，以及由局部诺伊曼问题的解定义的两个误差估计器。相对于全局误差的可靠估计和自适应精炼网格上计算出的解决方案的准确性，对它们进行了比较。数值研究表明，对于两种比较标准，在所有测试中，没有一种被认为是误差估计器的令人满意的方法。

著录项

来源
《Computer Methods in Applied Mechanics and Engineering》 |2000年第7期|p.757-781|共25页
作者
Volker John;
展开▼
作者单位

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
Convection-dominated problems; A posteriori error estimation; Adaptive grid refinement;

机译：对流为主的问题;后验误差估计;自适应网格细化;

相似文献

外文文献
中文文献
专利

1. A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations [J] . Kehlet Benjamin, Logg Anders Numerical algorithms . 2017,第1期

机译：常微分方程数值解的循环误差的后验误差分析
2. A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations [J] . Jha Abhinav Computers & mathematics with applications . 2021,第Sepa1期

机译：基于对对流扩散方程的AFC方案的剩余误差估计
3. Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations [J] . Journal of Computational and Applied Mathematics . 2020,第期

机译：分析斯托克斯方程治理的变分不等式的后验误差估计器
4. A POSTERIORI ERROR ESTIMATORS FOR THE DISCRETE ORDINATES APPROXIMATION OF THE ONE-SPEED NEUTRON TRANSPORT EQUATION [C] . Sean OBrien, Yousry Y. Azmy International conference on mathematics and computational methods applied to nuclear science and engineering . 2013

机译：一维中子传输方程的离散准则逼近的一个POSTERIORI误差估计
5. Adaptive finite element approximation of the Black-Scholes equation based on residual-type a posteriori error estimators. [D] . Li, Huifang. 2009

机译：基于残差型后验误差估计量的Black-Scholes方程的自适应有限元逼近。
6. Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations [O] . Michael Feischl, Gregor Gantner, Dirk Praetorius -1

机译：弱奇异积分方程的自适应IGA边界元方法的可靠高效后验误差估计
7. A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations [O] . Buhr, Andreas, Engwer, Christian, Ohlberger, Mario, 2014

机译：一种数值稳定的后验误差估计器，用于减少基数椭圆方程的近似
8. Local-Mesh, Local-Order, Adaptive Finite Element Methods with a Posteriori Error Estimators for Elliptic Partial Differential Equations [R] . Weiser, A. 1981

机译：椭圆偏微分方程的局部网格，局部有序，自适应有限元方法及后验误差估计

A numerical study of a posteriori error estimators for convection--diffusion equations

摘要

著录项

相似文献

相关主题

期刊订阅