基于残差的后验误差估计，用于基于 E 的时变涡流问题表述

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2024-09-05 DOI:10.1016/j.camwa.2024.08.020

Ivana Šebestová

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引用次数: 0

摘要

我们考虑了以电场表示的时变涡流问题，该问题在空间上通过内德列克有限元进行离散，在时间上通过后向欧拉方案进行离散。我们推导出了基于残差的后验误差估计值，该误差估计值是在数值解的时间跃迁中增加的能量规范。这些估计值在时间和空间上都是可靠和局部有效的。

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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Residual-based a posteriori error estimation for E-based formulation of a time-dependent eddy current problem

We consider time-dependent eddy current problem formulated in terms of the electric field that is discretized by Nédélec finite elements in space and by the backward Euler scheme in time. We derive residual-based a posteriori error estimates in the energy norm augmented by temporal jumps in the numerical solution. The estimates are reliable and locally efficient in both time and space.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).