Preasymptotic Error Estimates of Linear EEM and CIP-EEM for the Time-Harmonic Maxwell Equations with Large Wave Number

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2026-03-03 DOI:10.1137/24m1680362

Shuaishuai Lu, Haijun Wu

引用次数: 0

Abstract

SIAM Journal on Numerical Analysis, Volume 64, Issue 2, Page 326-349, April 2026.
Abstract. Preasymptotic error estimates are derived for the second-type Nédélec linear edge element method and the linear [math]-conforming interior penalty edge element method (CIP-EEM) for the time-harmonic Maxwell equations with large wave number. It is shown that under the mesh condition that [math] is sufficiently small, the errors of the solutions to both methods are bounded by [math] in the energy norm and [math] in the [math]-scaled [math] norm, where [math] is the wave number and [math] is the mesh size. Numerical tests are provided to illustrate our theoretical results and the potential of CIP-EEM in significantly reducing the pollution effect.

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大波数时谐Maxwell方程线性EEM和CIP-EEM的预渐近误差估计

SIAM数值分析杂志，64卷，第2期，326-349页，2026年4月。摘要。对具有大波数的时谐Maxwell方程，导出了第二类nsamdsamlec线性边缘元法和线性符合内罚边缘元法（CIP-EEM）的预渐近误差估计。结果表明，在[math]足够小的网格条件下，两种方法的解的误差均以[math]中的能量范数和[math]缩放的[math]范数为界，其中[math]为波数，[math]为网格尺寸。数值试验证明了我们的理论结果和CIP-EEM在显著降低污染效应方面的潜力。

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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来源期刊

SIAM Journal on Numerical Analysis 数学-应用数学

CiteScore

4.80

自引率

6.90%

发文量

110

审稿时长

4-8 weeks

期刊介绍： SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.