-
1
-
-
84986947165
-
Finite element dispersion analysis for the three-dimensional second-order scalar wave equation
-
N. Abboud and P. Pinsky, Finite element dispersion analysis for the three-dimensional second-order scalar wave equation, Int. J. Numer. Meth. Eng., 35(6) (1992), 1183-1218.
-
(1992)
Int. J. Numer. Meth. Eng.
, vol.35
, Issue.6
, pp. 1183-1218
-
-
Abboud, N.1
Pinsky, P.2
-
3
-
-
0003766476
-
-
Springer-Verlag, New York, NY
-
C. Canuto, M. Hussaini, A. Quarteroni, and T. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, New York, NY, 1987.
-
(1987)
Spectral Methods in Fluid Dynamics
-
-
Canuto, C.1
Hussaini, M.2
Quarteroni, A.3
Zang, T.4
-
4
-
-
0038075476
-
Solving elastodynamics in a fluid-solid heterogeneous sphere: A parallel spectral element approximation on non-conforming grids
-
E. Chaljub, Y. Capdeville, and J. P. Vilotte, Solving elastodynamics in a fluid-solid heterogeneous sphere: a parallel spectral element approximation on non-conforming grids, J. Comput. Phys., 187(2) (2003), 457-491.
-
(2003)
J. Comput. Phys.
, vol.187
, Issue.2
, pp. 457-491
-
-
Chaljub, E.1
Capdeville, Y.2
Vilotte, J.P.3
-
5
-
-
33750904450
-
Spectral element analysis in seismology
-
Ru-Shan Wu and Valérie Maupin, editors, Elsevier
-
E. Chaljub, D. Komatitsch, J.-P. Vilotte, Y. Capdeville, B. Valette, and G. Festa, Spectral element analysis in seismology, in Ru-Shan Wu and Valérie Maupin, editors, Advances in Wave Propagation in Heterogeneous Media, volume 48 of Advances in Geophysics, pages 365-419, Elsevier, 2007.
-
(2007)
Advances in Wave Propagation in Heterogeneous Media, Volume 48 of Advances in Geophysics
, pp. 365-419
-
-
Chaljub, E.1
Komatitsch, D.2
Vilotte, J.-P.3
Capdeville, Y.4
Valette, B.5
Festa, G.6
-
6
-
-
0032648338
-
The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation
-
M. Christon, The influence of the mass matrix on the dispersive nature of the semi-discrete, second-order wave equation, Comput. Methods. Appl. Mech. Engrg., 173(1-2) (1999), 147-166.
-
(1999)
Comput. Methods. Appl. Mech. Engrg.
, vol.173
, Issue.1-2
, pp. 147-166
-
-
Christon, M.1
-
8
-
-
0028450304
-
Higher-order finite elements with mass-lumping for the 1D wave equation
-
G. Cohen, P. Joly, and N. Tordjman, Higher-order finite elements with mass-lumping for the 1D wave equation, Finite. Elem. Anal. Des., 16(3-4) (1994), 329-336.
-
(1994)
Finite. Elem. Anal. Des.
, vol.16
, Issue.3-4
, pp. 329-336
-
-
Cohen, G.1
Joly, P.2
Tordjman, N.3
-
9
-
-
0034228829
-
The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements
-
W. Dauksher and A. Emery, The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements, Comput. Methods. Appl. Mech. Engrg., 188(1-3) (2000), 217-233.
-
(2000)
Comput. Methods. Appl. Mech. Engrg.
, vol.188
, Issue.1-3
, pp. 217-233
-
-
Dauksher, W.1
Emery, A.2
-
10
-
-
36148978170
-
Grid dispersion and stability criteria of some common finiteelement methods for acoustic and elastic wave equations
-
J. De Basabe and M. Sen, Grid dispersion and stability criteria of some common finiteelement methods for acoustic and elastic wave equations, Geophysics., 72(6) (2007), T81-T95.
-
(2007)
Geophysics.
, vol.72
, Issue.6
-
-
De Basabe, J.1
Sen, M.2
-
11
-
-
56549123587
-
Comment on "Dispersion analysis of spectral element methods for elastic wave propagation"
-
J. De Basabe and M. Sen, Comment on "dispersion analysis of spectral element methods for elastic wave propagation",Wave. Motion., 46(1) (2009), 92-93.
-
(2009)
Wave. Motion.
, vol.46
, Issue.1
, pp. 92-93
-
-
De Basabe, J.1
Sen, M.2
-
13
-
-
0036740992
-
Nodal high-ordermethods on unstructured grids, I: Time-domain solution of Maxwell's equations
-
J. S. Hesthaven and T. Warburton, Nodal high-ordermethods on unstructured grids, I: time-domain solution of Maxwell's equations, J. Comput. Phys., 181(1) (2002), 186-221.
-
(2002)
J. Comput. Phys.
, vol.181
, Issue.1
, pp. 186-221
-
-
Hesthaven, J.S.1
Warburton, T.2
-
14
-
-
2342565842
-
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem
-
M. E. Hochstenbach and H. A. van der Vorst, Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem, SIAM J. Sci. Comput., 25(2) (2003), 591-603.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, Issue.2
, pp. 591-603
-
-
Hochstenbach, M.E.1
Van Der Vorst, H.A.2
-
16
-
-
0031815577
-
The spectral-elementmethod: An efficient tool to simulate the seismic response of 2D and 3D geological structures
-
D. Komatitsch and J. P. Vilotte, The spectral-elementmethod: an efficient tool to simulate the seismic response of 2D and 3D geological structures, Bull. Seismol. Soc. Am., 88(2) (1998), 368-392.
-
(1998)
Bull. Seismol. Soc. Am.
, vol.88
, Issue.2
, pp. 368-392
-
-
Komatitsch, D.1
Vilotte, J.P.2
-
17
-
-
0000028027
-
An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
-
K. Korczak and A. Patera, An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry, J. Comput. Phys., 62(2) (1986), 361-382.
-
(1986)
J. Comput. Phys.
, vol.62
, Issue.2
, pp. 361-382
-
-
Korczak, K.1
Patera, A.2
-
18
-
-
46649091120
-
2D numerical simulations of earthquake ground motion: Examples from the Marche Region, Italy
-
G. Laurenzano, E. Priolo, and E. Tondi, 2D numerical simulations of earthquake ground motion: examples from the Marche Region, Italy, J. Seismol., 12(3) (2008), 395-412.
-
(2008)
J. Seismol.
, vol.12
, Issue.3
, pp. 395-412
-
-
Laurenzano, G.1
Priolo, E.2
Tondi, E.3
-
20
-
-
0025445673
-
Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
-
Y. Maday and E. Rønquist, Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries, Comput. Methods. Appl. Mech. Eng., 80(1-3) (1990), 91-115.
-
(1990)
Comput. Methods. Appl. Mech. Eng.
, vol.80
, Issue.1-3
, pp. 91-115
-
-
Maday, Y.1
Rønquist, E.2
-
21
-
-
0009404816
-
Appendix-analysis of higher order finite-element methods
-
K. Kelly and K. Marfurt, editors, Geophysics Reprint Series, Soc. Expl. Geophys., Tulsa, OK
-
K. Marfurt, Appendix-analysis of higher order finite-element methods, in K. Kelly and K. Marfurt, editors, Numerical modeling of seismic wave propagation, number 13, in Geophysics Reprint Series, pages 516-520, Soc. Expl. Geophys., Tulsa, OK, 1990.
-
(1990)
Numerical Modeling of Seismic Wave Propagation, Number 13
, pp. 516-520
-
-
Marfurt, K.1
-
22
-
-
0035843806
-
Fully discrete hp-finite elements: Fast quadrature
-
J. M. Melenk, K. Gerdes, and C. Schwab, Fully discrete hp-finite elements: fast quadrature, Comput. Methods. Appl. Mech. Engrg., 190(32-33) (2001), 4339-4364.
-
(2001)
Comput. Methods. Appl. Mech. Engrg.
, vol.190
, Issue.32-33
, pp. 4339-4364
-
-
Melenk, J.M.1
Gerdes, K.2
Schwab, C.3
-
23
-
-
33746124183
-
Triangular spectral element simulation of two-dimensional elastic wave propagation using unstructured triangular grids
-
E. D. Mercerat, J. P. Vilotte, and F. J. Sanchez-Sesma, Triangular spectral element simulation of two-dimensional elastic wave propagation using unstructured triangular grids, Geophys. J. Int., 166(2) (2006), 679-690.
-
(2006)
Geophys. J. Int.
, vol.166
, Issue.2
, pp. 679-690
-
-
Mercerat, E.D.1
Vilotte, J.P.2
Sanchez-Sesma, F.J.3
-
24
-
-
0033164986
-
Spurious modes in finite-element discretizations of the wave equation may not be all that bad
-
W. Mulder, Spurious modes in finite-element discretizations of the wave equation may not be all that bad, Appl. Numer. Math., 30(4) (1999), 425-445.
-
(1999)
Appl. Numer. Math.
, vol.30
, Issue.4
, pp. 425-445
-
-
Mulder, W.1
-
25
-
-
77955231861
-
DFT modal analysis of spectral element methods for the 2D elastic wave equation
-
S. P. Oliveira and G. Seriani, DFT modal analysis of spectral element methods for the 2D elastic wave equation, J. Comput. Appl. Math., 234 (2010), 1717-1724.
-
(2010)
J. Comput. Appl. Math.
, vol.234
, pp. 1717-1724
-
-
Oliveira, S.P.1
Seriani, G.2
-
26
-
-
48549109395
-
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
-
A. Patera, A spectral element method for fluid dynamics: Laminar flow in a channel expansion, J. Comput. Phys., 54(3) (1984), 468-488.
-
(1984)
J. Comput. Phys.
, vol.54
, Issue.3
, pp. 468-488
-
-
Patera, A.1
-
27
-
-
0000465996
-
2-D spectral element simulations of destructive ground shaking in Catania (Italy)
-
E. Priolo, 2-D spectral element simulations of destructive ground shaking in Catania (Italy), J. Seismol., 3(3) (1999), 289-309.
-
(1999)
J. Seismol.
, vol.3
, Issue.3
, pp. 289-309
-
-
Priolo, E.1
-
28
-
-
0028123819
-
Numerical simulation of interface waves by high-order spectral modeling techniques
-
E. Priolo, J. Carcione, and G. Seriani, Numerical simulation of interface waves by high-order spectral modeling techniques, J. Acoust. Soc. Am., 95(2) (1994), 681-693.
-
(1994)
J. Acoust. Soc. Am.
, vol.95
, Issue.2
, pp. 681-693
-
-
Priolo, E.1
Carcione, J.2
Seriani, G.3
-
29
-
-
19844381624
-
Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations
-
M. Proot and M. Gerritsma, Application of the least-squares spectral element method using Chebyshev polynomials to solve the incompressible Navier-Stokes equations, Numer. Algorithms., 38(1-3) (2005), 155-172.
-
(2005)
Numer. Algorithms.
, vol.38
, Issue.1-3
, pp. 155-172
-
-
Proot, M.1
Gerritsma, M.2
-
30
-
-
0032476189
-
3-D large-scale wave propagation by spectral element method on Cray T3E multiprocessor
-
G. Seriani, 3-D large-scale wave propagation by spectral element method on Cray T3E multiprocessor, Comput. Methods. Appl. Mech. Engrg., 164(1-2) (1998), 235-247.
-
(1998)
Comput. Methods. Appl. Mech. Engrg.
, vol.164
, Issue.1-2
, pp. 235-247
-
-
Seriani, G.1
-
31
-
-
1642377289
-
Double-grid Chebyshev spectral elements for acoustic wave modeling
-
G. Seriani, Double-grid Chebyshev spectral elements for acoustic wave modeling, Wave. Motion., 39(4) (2004), 351-360.
-
(2004)
Wave. Motion.
, vol.39
, Issue.4
, pp. 351-360
-
-
Seriani, G.1
-
32
-
-
34548522402
-
Optimal blended spectral element operators for forward modeling
-
G. Seriani and S. P. Oliveira, Optimal blended spectral element operators for forward modeling, Geophys., 72(5) (2007), SM95-SM106.
-
(2007)
Geophys.
, vol.72
, Issue.5
-
-
Seriani, G.1
Oliveira, S.P.2
-
33
-
-
56949108538
-
Dispersion analysis of spectral element methods for acoustic wave propagation
-
G. Seriani and S. P. Oliveira, Dispersion analysis of spectral element methods for acoustic wave propagation, J. Comput. Acoust., 16(4) (2008), 531-561.
-
(2008)
J. Comput. Acoust.
, vol.16
, Issue.4
, pp. 531-561
-
-
Seriani, G.1
Oliveira, S.P.2
-
34
-
-
44649155289
-
Dispersion analysis of spectral element methods for elastic wave propagation
-
G. Seriani and S. P. Oliveira, Dispersion analysis of spectral element methods for elastic wave propagation, Wave. Motion., 45(6) (2008), 729-744.
-
(2008)
Wave. Motion.
, vol.45
, Issue.6
, pp. 729-744
-
-
Seriani, G.1
Oliveira, S.P.2
-
35
-
-
56549098168
-
Reply to comment on "Dispersion analysis of spectral element methods for elastic wave propagation"
-
G. Seriani and S. P. Oliveira, Reply to comment on "dispersion analysis of spectral element methods for elastic wave propagation", Wave. Motion., 46(1) (2009), 94-95.
-
(2009)
Wave. Motion.
, vol.46
, Issue.1
, pp. 94-95
-
-
Seriani, G.1
Oliveira, S.P.2
-
36
-
-
0028450299
-
Spectral element method for acoustic wave simulation in heterogeneous media
-
G. Seriani and E. Priolo, Spectral element method for acoustic wave simulation in heterogeneous media, Finite. Elem. Anal. Des., 16(3-4) (1994), 337-348.
-
(1994)
Finite. Elem. Anal. Des.
, vol.16
, Issue.3-4
, pp. 337-348
-
-
Seriani, G.1
Priolo, E.2
-
37
-
-
2342462325
-
Spectral elementmethod for linear fan tone noise radiation
-
D. Stanescu, D. Ait-Ali-Yahia, W. G. Habashi, and M. P. Robichaud, Spectral elementmethod for linear fan tone noise radiation, AIAA J., 42(4) (2004), 696-705.
-
(2004)
AIAA J.
, vol.42
, Issue.4
, pp. 696-705
-
-
Stanescu, D.1
Ait-Ali-Yahia, D.2
Habashi, W.G.3
Robichaud, M.P.4
-
38
-
-
0033879052
-
Numerical dispersion of a vector finite element method on skewed hexahedral grids
-
D. White, Numerical dispersion of a vector finite element method on skewed hexahedral grids, Commun. Numer. Methods. Eng., 16(1) (2000), 47-55.
-
(2000)
Commun. Numer. Methods. Eng.
, vol.16
, Issue.1
, pp. 47-55
-
-
White, D.1
-
39
-
-
68049093942
-
A novel formulation of a spectral plate element for wave propagation in isotropic structures
-
A. Zak, A novel formulation of a spectral plate element for wave propagation in isotropic structures, Finite. Elem. Anal. Des., 45(10) (2009), 650-658.
-
(2009)
Finite. Elem. Anal. Des.
, vol.45
, Issue.10
, pp. 650-658
-
-
Zak, A.1
-
40
-
-
34247372714
-
Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements
-
S. Zhang, Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements, J. Comput. Appl. Math., 205(1) (2007), 325-342.
-
(2007)
J. Comput. Appl. Math.
, vol.205
, Issue.1
, pp. 325-342
-
-
Zhang, S.1
|