A weighted Runge–Kutta discontinuous Galerkin method for wavefield modelling

X He, D Yang, H Wu - Geophysical Journal International, 2015 - academic.oup.com
In this paper, we propose a weighted Runge–Kutta (RK) discontinuous Galerkin (WRKDG)
method for wavefield modelling. For this method, we first transform the seismic wave …

Dispersion–dissipation analysis of the triangle-based discontinuous Galerkin method for scalar wave equation

X He, D Yang, X Ma, C Lang - Geophysical Journal International, 2019 - academic.oup.com
In this paper, we present a dispersion–dissipation analysis of the triangle-based
discontinuous Galerkin method (DGM) for scalar wave equation. The DGM is based on the …

Runge-Kutta discontinuous Galerkin method for solving wave equations in 2D isotropic and anisotropic poroelastic media at low frequencies

X He, D Yang, Y Zhou, L Yang, X Huang - Geophysics, 2021 - library.seg.org
We have developed a Runge-Kutta discontinuous Galerkin (RKDG) method for solving wave
equations in isotropic and anisotropic poroelastic media at low frequencies. First, the 2D …

[PDF][PDF] 三角网格有限元法波动模拟的数值频散及稳定性研究

曹丹平, 周建科, 印兴耀 - 地球物理学报, 2015 - dsjyj.com.cn
摘要三角网格有限元法能够准确模拟复杂构造和复杂介质条件下的地震波场,
数值频散和稳定性条件是地震波数值模拟中参数选择的主要依据. 基于均匀的线性三角网格单元 …

[PDF][PDF] 复杂固-液介质的速度应力方程三角形单元间断伽辽金地震波模拟算法

曹文忠, 张伟 - 地球物理学报, 2024 - dsjyj.com.cn
摘要间断伽辽金法可用于存在复杂边界条件的模型, 同时具有高阶精度和易于并行计算的优点,
因此近年来在地震波传播模拟研究中得到了快速发展. 数值通量是间断伽辽金法的关键组成部分 …

Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations

W Meng, LY Fu - Geophysics, 2018 - library.seg.org
The discontinuous Galerkin method (DGM) has been applied to investigate seismic wave
propagation recently. However, few studies have examined the dispersion property of DGM …

[HTML][HTML] A High Efficiency Discontinuous Galerkin Method for 3D Ground-Penetrating Radar Simulation

S Xue, C Yin, J Li, J Zhu, W Liu - Remote Sensing, 2025 - mdpi.com
As an effective geophysical tool, ground penetrating radar (GPR) is widely used for
environmental and engineering detections. Numerous numerical simulation algorithms have …

[HTML][HTML] 基于非结构网格求解三维D'Alembert 介质中声波方程的并行加权Runge-Kutta 间断有限元方法

贺茜君, 杨顶辉, 仇楚钧, 周艳杰, 常芸凡 - 地球物理学报, 2021 - html.rhhz.net
间断有限元方法(Discontinuous Galerkin method, 简称DGM) 在求解地震波动方程时具有低
数值频散, 网格剖分灵活等优点, 因此, 为适应数值模拟对模拟精度和复杂地质结构的要求 …

The study for numerical dispersion and stability of wave motion with triangle-based finite element algorithm

DP CAO, JK ZHOU, XY YIN - Chinese Journal of Geophysics, 2015 - en.dzkx.org
The forward modeling of wave equation plays a very important role in seismic data
acquisition, processing and interpretation. In order to accurately simulate the propagation of …

[HTML][HTML] A parallel weighted Runge-Kutta discontinuous galerkin method for solving acousitc wave equations in 3D D'Alembert media on unstructured meshes

XJ HE, DH YANG, CJ QIU, YJ ZHOU… - Chinese Journal of …, 2021 - en.dzkx.org
Discontinuous Galerkin method (DGM) is a widely used numerical algorithm. It has the
advantages of high accuracy, flexibility in dealing with boundary conditions, easy …