Space-Time FEM-BEM Couplings for Parabolic Transmission Problems

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2025-09-05 DOI:10.1137/24m1695646

Thomas Führer, Gregor Gantner, Michael Karkulik

引用次数: 0

Abstract

SIAM Journal on Numerical Analysis, Volume 63, Issue 5, Page 1909-1932, October 2025.
Abstract. We develop couplings of a recent space-time first-order system least-squares method for parabolic problems and space-time boundary element methods for the heat equation to numerically solve a parabolic transmission problem on the full space and a finite time interval. In particular, we demonstrate coercivity of the couplings under certain restrictions and validate our theoretical findings by numerical experiments.

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抛物传输问题的时空FEM-BEM耦合

SIAM数值分析杂志，第63卷，第5期，1909-1932页，2025年10月。摘要。本文提出了一种新的时空一阶系统最小二乘法与热方程的时空边界元法的耦合，以数值解全空间有限时间区间上的抛物传输问题。特别地，我们证明了在某些限制条件下耦合的矫顽力，并通过数值实验验证了我们的理论发现。

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.