A comparison of continuous mass-lumped finite elements with finite differences for 3-D wave propagation

@inproceedings{Zhebel2014ACO,
  title={A comparison of continuous mass-lumped finite elements with finite differences for 3-D wave propagation},
  author={Elena Zhebel and Sara Minisini and Alexey Kononov and Wim A. Mulder},
  year={2014}
}
The finite-difference method on rectangular meshes is widely used for time-domain modelling of the wave equation. It is relatively easy to implement high-order spatial discretization schemes and parallelization. Also, the method is computationally efficient. However, the use of finite elements on tetrahedral unstructured meshes is more accurate in complex geometries near sharp interfaces. We compared the standard eighth-order finite-difference method to fourth-order continuous mass-lumped… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 57 references

A comparison between higher-order finite elements and finite differences for solving the wave equation

  • W. A. Mulder
  • Proceedings of the Second ECCOMAS Conference on…
  • 1996
Highly Influential
6 Excerpts

Finite element mass matrix lumping by numerical integration with no convergence rate loss

  • I. Fried, D. S. Malkus
  • International Journal of Solids and Structures,
  • 1975
Highly Influential
5 Excerpts

Graded boundary simulation of air/Earth interfaces in finite-difference elastic wave modeling, SEG

  • L. C. Bartel, N. P. Symons, D. F. Aldridge
  • Technical Program Expanded Abstracts,
  • 2000
Highly Influential
2 Excerpts

Time - stepping stability of continuous and discontinuous finite - element methods for 3 - D wave propagation

  • A. MulderW., E. Zhebel, S. Minisini
  • Geophysical Journal International
  • 2014

New triangular mass - lumped finite elements of degree 6 for wave propagation , Progress in Electromagnetic Research

  • A. MulderW.
  • 2013

A 3-D tetrahedral mesh generator for seismic problems, in 74th EAGE Conference & Exhibition, Copenhagen, Denmark, Extended Abstracts

  • A. Kononov, S. Minisini, E. Zhebel, W. A. Mulder
  • 2012
1 Excerpt

Efficiency comparisons for higher-order continuous mass-lumped and discontinuous Galerkin finite-element methods for the 3-D acoustic wave equation, 74th

  • S. Minisini, E. Zhebel, A. Kononov, W. A. Mulder
  • EAGE Conference & Exhibition, Extended Abstracts,
  • 2012
1 Excerpt

ficiency comparisons for higher - order continuous mass - lumped and discontinuous Galerkin finite - element methods for the 3 - D acoustic wave equation

  • S. Minisini, E. Zhebel, A. Kononov, A. MulderW.
  • 2012
1 Excerpt

3-D finite-difference, finite-element, discontinuous-Galerkin and spectral-element schemes analysed for their accuracy with respect to P-wave to S-wave speed ratio, Geophysics

  • P. Moczo, J. Kristek, M. Galis, E. Chaljub, V. Etienne
  • Journal International,
  • 2011
1 Excerpt

New curvilinear scheme for elastic wave propagation in presence of curved topography

  • I. Tarrass, L. Giraud, P. Thore
  • Geophysical Prospecting
  • 2011
1 Excerpt

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