基本解方法
比奥数
数学
数学分析
傅里叶变换
边界(拓扑)
奇点
频域
边值问题
奇异边界法
机械
物理
边界元法
有限元法
热力学
作者
Dongdong Liu,Xing Wei,Chengbin Li,Chonghun Han,Xiaxi Cheng,Linlin Sun
出处
期刊:Mathematics
[MDPI AG]
日期:2022-11-17
卷期号:10 (22): 4323-4323
被引量:1
摘要
In this paper, the singular boundary method (SBM) in conjunction with the exponential window method (EWM) is firstly extended to simulate the transient dynamic response of two-dimensional saturated soil. The frequency-domain (Fourier space) governing equations of Biot theory is solved by the SBM with a linear combination of the fundamental solutions. In order to avoid the perplexing fictitious boundary in the method of fundamental solution (MFS), the SBM places the source point on the physical boundary and eliminates the source singularity of the fundamental solution via the origin intensity factors (OIFs). The EWM is carried out for the inverse Fourier transform, which transforms the frequency-domain solutions into the time-domain solutions. The accuracy and feasibility of the SBM-EWM are verified by three numerical examples. The numerical comparison between the MFS and SBM indicates that the SBM takes a quarter of the time taken by the MFS.
科研通智能强力驱动
Strongly Powered by AbleSci AI