抛物型问题的插值算子

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Numerische Mathematik Pub Date : 2023-09-11 DOI:10.1007/s00211-023-01373-9

Rob Stevenson, Johannes Storn

引用次数: 0

摘要

摘要引入具有近似和稳定性质的插值算子，适用于原始和混合形式的抛物问题。我们推导了张量积网格的局部误差估计(发生在经典的时间推进方案中)以及局部的时空精细网格。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Interpolation operators for parabolic problems

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Interpolation operators for parabolic problems

Abstract We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates for tensor product meshes (occurring in classical time-marching schemes) as well as locally in space-time refined meshes.

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来源期刊

Numerische Mathematik 数学-应用数学

CiteScore

4.10

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerische Mathematik publishes papers of the very highest quality presenting significantly new and important developments in all areas of Numerical Analysis. "Numerical Analysis" is here understood in its most general sense, as that part of Mathematics that covers: 1. The conception and mathematical analysis of efficient numerical schemes actually used on computers (the "core" of Numerical Analysis) 2. Optimization and Control Theory 3. Mathematical Modeling 4. The mathematical aspects of Scientific Computing