verfurt h误差估计器对亥姆霍兹方程EF解的有效性

Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy Pub Date : 2000-01-01 DOI:10.1016/S1287-4620(00)88418-5

Simona Iremie, Philippe Bouillard

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引用次数: 0

摘要

亥姆霍兹方程的有限元解是色散的，现有的后验误差估计器低估了这种现象所隐含的污染误差。本文提出了一种新的Helmholtz算子残差估计量，并在一维模型问题上进行了检验。数值结果表明，误差估计是正确的，但问题相关常数的精确计算出现了新的困难。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Efficacité de l'estimateur d'erreur de Verfürt h pour la solution EF de l'équation de Helmholtz

The finite element solution of Helmholtz equation is dispersive and the existent a posteriori error estimators underestimate the pollution error implied by this phenomenon. In this paper, a new type of residual estimator for the Helmholtz operator is proposed and tested on a one-dimensional model problem. The numerical results show that the error is correctly estimated but new difficulties appear in the exact evaluation of problem dependent constants.

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Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy

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