A review: Applications of the spectral finite element method

MB Hafeez, M Krawczuk - Archives of Computational Methods in …, 2023 - Springer
Abstract The Spectral Finite Element Technique (SFEM) has Several Applications in the
Sciences, Engineering, and Mathematics, which will be Covered in this Review Article. The …

物理驱动深度学习波动数值模拟方法及应用

陈苏, 丁毅, 孙浩, 赵密, 王进廷, 李小军 - 力学学报, 2023 - lxxb.cstam.org.cn
近年来, 物理先验融合数据的深度学习方法求解以偏微分方程为理论基础的正反演问题已成为
交叉学科热点. 针对地震工程波动数值模拟, 本文阐明了物理驱动深度学习方法PINN …

[HTML][HTML] 模拟地震波传播的三维逐元并行谱元法

刘少林, 杨顶辉, 徐锡伟, 李小凡, 申文豪, 刘有山 - 地球物理学报, 2021 - html.rhhz.net
高效地震波场正演模拟对于复杂模型中地震波传播与成像研究至关重要. 本文在谱元法原理框架
内, 对已有逐元谱元法改进, 提出一种新的逐元并行谱元法求解三维地震波运动方程 …

[PDF][PDF] Raising convergence order of grid-characteristic schemes for 2D linear elasticity problems using operator splitting

VI Golubev, AV Shevchenko… - Computer Research and …, 2022 - crm-en.ics.org.ru
The grid-characteristic method is successfully used for solving hyperbolic systems of partial
differential equations (for example, transport/acoustic/elastic equations). It allows to …

A mixed-grid finite element method with PML absorbing boundary conditions for seismic wave modelling

S Liu, X Li, W Wang, Y Liu - Journal of Geophysics and …, 2014 - academic.oup.com
We have developed a mixed-grid finite element method (MGFEM) to simulate seismic wave
propagation in 2D structurally complex media. This method divides the physical domain into …

Modified symplectic schemes with nearly-analytic discrete operators for acoustic wave simulations

S Liu, D Yang, C Lang, W Wang, Z Pan - Computer Physics …, 2017 - Elsevier
Using a structure-preserving algorithm significantly increases the computational efficiency of
solving wave equations. However, only a few explicit symplectic schemes are available in …

[HTML][HTML] 基于PML 边界条件的二阶电磁波动方程GPR 时域有限元模拟

王洪华, 吕玉增, 王敏玲, 龚俊波, 张智 - 地球物理学报, 2019 - html.rhhz.net
完全匹配层(PML) 作为一种稳定高效的吸收边界条件, 广泛应用于基于一阶电磁波动方程的探地
雷达(GPR) 数值模拟中. 为解决基于二阶电磁波动方程的GPR 数值模拟的吸收边界问题 …

Methods and applications of physical information deep learning in wave numerical simulation

C Su, D Yi, S Hao, Z Mi, W Jinting… - Chinese Journal of …, 2023 - lxxb.cstam.org.cn
In recent years, physics-informed deep learning methods based on prior data fusion to solve
forward and inverse problems based on partial differential equations (PDEs) have become a …

Three-dimensional element-by-element parallel spectral-element method for seismic wave modeling

SL LIU, DH YANG, XW XU, XF LI, WH SHEN… - Chinese Journal of …, 2021 - en.dzkx.org
High-efficient seismic wave forward modeling is important for the investigation of seismic
wave phenomenon in complex media and the imaging of subsurface structures of the Earth …

Underthrusting of Tarim lower crust beneath the Tibetan Plateau revealed by receiver function imaging

C Wu, T Xu, X Tian, RN Mitchell, J Lin… - Geophysical …, 2024 - Wiley Online Library
Abstract The left‐lateral Altyn Tagh Fault (ATF) system is the northern boundary of the
Tibetan Plateau resulted from the India–Eurasia continental collision. How intracontinental …