Dynamic analysis of layered elastic medium by TD-BEM using the iteration technique in the whole time domain

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-04-20 DOI:10.1016/j.matcom.2025.04.018

Xiaofei Qin , Hongjun Li , Changnv Zeng

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引用次数: 0

Abstract

An efficient time-domain boundary element method (TD-BEM) is originally proposed for dynamic analysis of layered elastic medium using the innovative iteration technique in the whole time domain. Based on the iteration technique, the layered elastic domain is divided into several TD-BEM sub-domains with constant material properties, which are computed separately across the whole time domain, without the requirement of iterative calculations and convergence judgment for each individual time step. Meanwhile, the connection between TD-BEM sub-domains is performed by enforcing the interfacial continuity of the field variables. In addition to achieving exceptional computational accuracy and efficiency, the independent spatial and temporal discretizations are allowed for each TD-BEM sub-domain in modeling the layered elastic medium to further improve the versatility and flexibility of the current TD-BEM. The excellent performance of the presented TD-BEM formulation for layered elastic medium is verified by several numerical applications.

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采用全时域迭代技术对层状弹性介质进行动力学分析

利用创新的全时域迭代技术，提出了一种有效的时域边界元法（TD-BEM），用于层状弹性介质的动力分析。基于迭代技术，将层状弹性域划分为若干具有恒定材料属性的TD-BEM子域，在整个时域内单独计算，不需要对每个时间步进行迭代计算和收敛性判断。同时，通过增强场变量的界面连续性来实现TD-BEM子域之间的连接。除了获得优异的计算精度和效率外，还允许在分层弹性介质建模中对每个TD-BEM子域进行独立的空间和时间离散化，进一步提高了当前TD-BEM的通用性和灵活性。若干数值应用验证了所提出的TD-BEM公式在层状弹性介质中的优异性能。

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

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.