弱耦合孔弹性的二阶半显式积分

IF 1.6 3区数学 Q3 COMPUTER SCIENCE, SOFTWARE ENGINEERING

BIT Numerical Mathematics Pub Date : 2024-04-07 DOI:10.1007/s10543-024-01021-0

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引用次数: 0

摘要

摘要我们介绍了一种满足弱耦合条件的线性孔弹性二阶半显式时间步进方案。这里的半显指的是每一步都需要求解的系统解耦，从而提高了计算效率。其构造和收敛性证明基于与具有两个时间延迟（即步长的一倍和两倍）的微分方程的连接。数值实验证实了理论结果，并表明它适用于更高阶的方案。

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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Semi-explicit integration of second order for weakly coupled poroelasticity

Abstract

We introduce a semi-explicit time-stepping scheme of second order for linear poroelasticity satisfying a weak coupling condition. Here, semi-explicit means that the system, which needs to be solved in each step, decouples and hence improves the computational efficiency. The construction and the convergence proof are based on the connection to a differential equation with two time delays, namely one and two times the step size. Numerical experiments confirm the theoretical results and indicate the applicability to higher-order schemes.

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来源期刊

BIT Numerical Mathematics 数学-计算机：软件工程

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The journal BIT has been published since 1961. BIT publishes original research papers in the rapidly developing field of numerical analysis. The essential areas covered by BIT are development and analysis of numerical methods as well as the design and use of algorithms for scientific computing. Topics emphasized by BIT include numerical methods in approximation, linear algebra, and ordinary and partial differential equations.