A comparative study of finite element and spectral element methods in seismic wavefield modeling

Y Liu, J Teng, H Lan, X Si, X Ma - Geophysics, 2014 - library.seg.org
The computational accuracy and efficiency of finite element method and spectral element
method (SEM) are investigated thoroughly in time-domain elastic wavefield modeling. The …

Numerical modeling of seismic wavefield with the SEM based on Triangles

Y LIU, J TENG, T Xu, S LIU, X SI, X MA - Progress in Geophysics, 2014 - en.dzkx.org
The spectral element method (SEM) combines the geometrical flexibility of a finite element
method with the exponential convergence rate associated with spectral method, which has …

Seismic wavefield simulation by a modified finite element method with a perfectly matched layer absorbing boundary

W Meng, LY Fu - Journal of Geophysics and Engineering, 2017 - academic.oup.com
The finite element method is a very important tool for modeling seismic wave propagation in
complex media, but it usually consumes a large amount of memory which significantly …

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 …

Higher-order triangular spectral element method with optimized cubature points for seismic wavefield modeling

Y Liu, J Teng, T Xu, J Badal - Journal of Computational Physics, 2017 - Elsevier
The mass-lumped method avoids the cost of inverting the mass matrix and simultaneously
maintains spatial accuracy by adopting additional interior integration points, known as …

Modified symplectic scheme with finite element method for seismic wavefield modeling

B SU, HL LI, SL LIU, DH YANG - Chinese Journal of Geophysics, 2019 - en.dzkx.org
Finite element method (FEM) with triangular mesh has the properties of flexibility and
adaptability in complex medium. However, the traditional finite element method is inefficient …

Efficiency of the spectral element method with very high polynomial degree to solve the elastic wave equation

C Lyu, Y Capdeville, L Zhao - Geophysics, 2020 - pubs.geoscienceworld.org
The spectral element method (SEM) has gained tremendous popularity within the
seismological community to solve the wave equation at all scales. Classic SEM applications …

Grid dispersion and stability criteria of some common finite-element methods for acoustic and elastic wave equations

JD De Basabe, MK Sen - Geophysics, 2007 - library.seg.org
Purely numerical methods based on finite-element approximation of the acoustic or elastic
wave equation are becoming increasingly popular for the generation of synthetic …

Spectral-element formulation of multi-transmitting formula and its accuracy and stability in 1D and 2D seismic wave modeling

H Xing, X Li, H Li, A Liu - Soil Dynamics and Earthquake Engineering, 2021 - Elsevier
Application of local artificial boundary conditions in high-efficient spectral element method
(SEM) is a problem that needs further study, where difficulties focus on how to design an …

Element-by-element parallel spectral-element methods for 3-D teleseismic wave modeling

S Liu, D Yang, X Dong, Q Liu, Y Zheng - Solid Earth, 2017 - se.copernicus.org
The development of an efficient algorithm for teleseismic wave field modeling is valuable for
calculating the gradients of the misfit function (termed misfit gradients) or Fréchet derivatives …