三角形上多项式轨迹的稳定提升

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2024-03-04 DOI:10.1137/23m1564948

Charles Parker, Endre Süli

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引用次数: 0

摘要

SIAM 数值分析期刊》第 62 卷第 2 期第 692-717 页，2024 年 4 月。摘要。我们构造了参考三角形[math]上的迹算子[math]的右逆，它能将[math]上合适的片断多项式数据映射为同度多项式，并且在所有[math]规范中与[math]和[math]有界。分析依赖于三类单边算子的新稳定性估计。然后，我们将这一构造推广到[math]三阶法导数[math]。

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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Stable Lifting of Polynomial Traces on Triangles

SIAM Journal on Numerical Analysis, Volume 62, Issue 2, Page 692-717, April 2024.
Abstract. We construct a right inverse of the trace operator [math] on the reference triangle [math] that maps suitable piecewise polynomial data on [math] into polynomials of the same degree and is bounded in all [math] norms with [math] and [math]. The analysis relies on new stability estimates for three classes of single edge operators. We then generalize the construction for [math]th-order normal derivatives, [math].

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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.