平流-扩散的时空可杂化不连续Galerkin方法：平流主导型

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2025-04-23 DOI:10.1093/imanum/draf013

Yuan Wang, Sander Rhebergen

引用次数: 0

摘要

分析了求解随时间变化的平流扩散方程的一种时空可杂化不连续伽辽金方法。我们利用加权测试函数证明了在平流占优状态下离散化的稳定性，并推导了先验的时空误差估计。数值算例验证了理论结果。

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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Space-time hybridizable discontinuous Galerkin method for advection-diffusion: the advection-dominated regime

We analyze a space-time hybridizable discontinuous Galerkin method to solve the time-dependent advection-diffusion equation. We prove stability of the discretization in the advection-dominated regime by using weighted test functions and derive a priori space-time error estimates. Numerical examples illustrate the theoretical results.

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来源期刊

IMA Journal of Numerical Analysis 数学-应用数学

CiteScore

5.30

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.