The spectral element method for elastic wave equations: Application to 2D and 3D seismic problems

1998 ◽  
Author(s):  
Dimitri Komatitsch ◽  
Jeroen Tromp ◽  
Jean‐Pierre Vilotte
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
Spectral Element Method ◽  
Spectral Element ◽  
3D Seismic ◽  
Elastic Wave Equations ◽  
2D And 3D ◽  
Element Method

The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems

1999 ◽  
Vol 45 (9) ◽  
pp. 1139-1164 ◽  
Author(s):  
Dimitri Komatitsch ◽  
Jean-Pierre Vilotte ◽  
Rossana Vai ◽  
José M. Castillo-Covarrubias ◽  
Francisco J. Sánchez-Sesma
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
Spectral Element Method ◽  
Spectral Element ◽  
Elastic Wave Equations ◽  
Element Method

WAVE PROPAGATION IN 2-D ELASTIC MEDIA USING A SPECTRAL ELEMENT METHOD WITH TRIANGLES AND QUADRANGLES

2001 ◽  
Vol 09 (02) ◽  
pp. 703-718 ◽  
Author(s):  
DIMITRI KOMATITSCH ◽  
ROLAND MARTIN ◽  
JEROEN TROMP ◽  
MARK A. TAYLOR ◽  
BETH A. WINGATE
Keyword(s):  
Wave Propagation ◽  
Elastic Wave ◽  
Spectral Element Method ◽  
Mass Matrix ◽  
Spectral Element ◽  
Elastic Wave Propagation ◽  
Elastic Media ◽  
Spectral Element Methods ◽  
Fekete Points ◽  
Element Method

We apply a spectral element method based upon a conforming mesh of quadrangles and triangles to the problem of 2-D elastic wave propagation. The method retains the advantages of classical spectral element methods based upon quadrangles only. It makes use of the classical Gauss–Lobatto–Legendre formulation on the quadrangles, while discretization on the triangles is based upon interpolation at the Fekete points. We obtain a global diagonal mass matrix which allows us to keep the explicit structure of classical spectral element solvers. We demonstrate the accuracy and efficiency of the method by comparing results obtained for pure quadrangle meshes with those obtained using mixed quadrangle-triangle and triangle-only meshes.

High‐order spectral element method for elastic wave modeling

1992 ◽  
Author(s):  
Geza Seriani ◽  
Enrico Priolo ◽  
Jose Carcione ◽  
Enrico Padovani
Keyword(s):  
Elastic Wave ◽  
Spectral Element Method ◽  
Spectral Element ◽  
High Order ◽  
Wave Modeling ◽  
Element Method
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