-
3
-
-
0036018011
-
Approximation by quadrilateral finite elements
-
(electronic), ISSN 0025-5718
-
D. N. Arnold, D. Boffi, and R. S. Falk. Approximation by quadrilateral finite elements. Math. Comp., 71(239):909-922 (electronic), 2002. ISSN 0025-5718.
-
(2002)
Math. Comp
, vol.71
, Issue.239
, pp. 909-922
-
-
Arnold, D.N.1
Boffi, D.2
Falk, R.S.3
-
5
-
-
0016994507
-
The effect of quadrature errors on finite element approximations for the second-order hyperbolic equations
-
G.A. Baker and V.A. Dougalis. The effect of quadrature errors on finite element approximations for the second-order hyperbolic equations. SIAM Journal on Numerical Analysis, 13:577-598, 1976.
-
(1976)
SIAM Journal on Numerical Analysis
, vol.13
, pp. 577-598
-
-
Baker, G.A.1
Dougalis, V.A.2
-
8
-
-
0038109871
-
Stability of perfectly matched layers, group velocities and anisotropic waves
-
E. Bécache, S. Fauqueux, and P. Joly. Stability of perfectly matched layers, group velocities and anisotropic waves. Journal of Computational Physics, 188:399-433, 2003.
-
(2003)
Journal of Computational Physics
, vol.188
, pp. 399-433
-
-
Bécache, E.1
Fauqueux, S.2
Joly, P.3
-
9
-
-
0036339907
-
On the analysis of Berengers perfectly matched layers for Maxwell equations
-
E. Bécache and P. Joly. On the analysis of Berengers perfectly matched layers for Maxwell equations. Mathematical Modelling and Numerical Analysis, 36:87-120, 2002.
-
(2002)
Mathematical Modelling and Numerical Analysis
, vol.36
, pp. 87-120
-
-
Bécache, E.1
Joly, P.2
-
10
-
-
0035604025
-
Fictitious domains, mixed FE and PML for 2-D elastodynamics
-
E. Bécache, P. Joly, and C. Tsogka. Fictitious domains, mixed FE and PML for 2-D elastodynamics. Journal of Computational Acoustics, 9:1175-1201, 2001.
-
(2001)
Journal of Computational Acoustics
, vol.9
, pp. 1175-1201
-
-
Bécache, E.1
Joly, P.2
Tsogka, C.3
-
11
-
-
0036556456
-
A new family of mixed finite elements for the linear elastodynamic problem
-
E. Bécache, P. Joly, and C. Tsogka. A new family of mixed finite elements for the linear elastodynamic problem. SIAM Journal on Numerical Analysis, 39:2109-2132, 2002.
-
(2002)
SIAM Journal on Numerical Analysis
, vol.39
, pp. 2109-2132
-
-
Bécache, E.1
Joly, P.2
Tsogka, C.3
-
12
-
-
0000069637
-
Higher order paraxial approximations for the wave equation
-
A. Bemberger, B. Engquist, L. Halpern, and P. Joly. Higher order paraxial approximations for the wave equation. SIAM Journal on Applied Mathematics, 48:129-154, 1988.
-
(1988)
SIAM Journal on Applied Mathematics
, vol.48
, pp. 129-154
-
-
Bemberger, A.1
Engquist, B.2
Halpern, L.3
Joly, P.4
-
13
-
-
28044459877
-
A perfectly matched layer for the absorption of electromagnetic waves
-
J.P. Bérenger. A perfectly matched layer for the absorption of electromagnetic waves. Journal Computational Physics, 114:185-200, 1994.
-
(1994)
Journal Computational Physics
, vol.114
, pp. 185-200
-
-
Bérenger, J.P.1
-
14
-
-
0030239565
-
Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
-
J.P. Bérenger. Three-dimensional perfectly matched layer for the absorption of electromagnetic waves. Journal Computational Physics, 127:363-379, 1996.
-
(1996)
Journal Computational Physics
, vol.127
, pp. 363-379
-
-
Bérenger, J.P.1
-
15
-
-
0031098478
-
Improved PML for the FDTD solution of wave-structure interaction problems
-
J.P. Bérenger. Improved PML for the FDTD solution of wave-structure interaction problems. IEEE Transactions on Antennas and Propagation, 45:466-473, 1997.
-
(1997)
IEEE Transactions on Antennas and Propagation
, vol.45
, pp. 466-473
-
-
Bérenger, J.P.1
-
17
-
-
0032859104
-
Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
-
M.J.S. Chin-Joe-Kong, W.A. Mulder, and M. Van Veldhuizen. Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation. Journal of Engineeting Mathematics, 35:405-426, 1999.
-
(1999)
Journal of Engineeting Mathematics
, vol.35
, pp. 405-426
-
-
Chin-Joe-Kong, M.J.S.1
Mulder, W.A.2
Van Veldhuizen, M.3
-
20
-
-
0041909738
-
Higher order triangular finite elements with mass lumping for the wave equation
-
G. Cohen, P. Joly, J. E. Roberts, and N. Tordjman. Higher order triangular finite elements with mass lumping for the wave equation. SIAM Journal on Numerical Analysis, 38, 2001.
-
(2001)
SIAM Journal on Numerical Analysis
, pp. 38
-
-
Cohen, G.1
Joly, P.2
Roberts, J.E.3
Tordjman, N.4
-
21
-
-
0000766738
-
High order absorbing boundary conditions for wave propagation models: Straight line boundary and corner cases
-
(Newark, DE, 1993)
-
F. Collino. High order absorbing boundary conditions for wave propagation models: straight line boundary and corner cases. In PA SIAM, Philadelphia, editor, Second International Conference on Mathematical and Numerical Aspects of Wave Propagation (Newark, DE, 1993), pages 161-171, 1993.
-
(1993)
PA SIAM, Philadelphia, Editor, Second International Conference on Mathematical and Numerical Aspects of Wave Propagation
, pp. 161-171
-
-
Collino, F.1
-
22
-
-
0000167493
-
Perfectly matched absorbing layers for the paraxial equations
-
F. Collino. Perfectly matched absorbing layers for the paraxial equations. Journal of Computational Physics, 131:164-180, 1996.
-
(1996)
Journal of Computational Physics
, vol.131
, pp. 164-180
-
-
Collino, F.1
-
24
-
-
0032475725
-
The Perfectly Matched Layer in curvilinear coordinates
-
F. Collino and P. Monk. The Perfectly Matched Layer in curvilinear coordinates. SIAM Journal on Scientific Computation, 164:157-171, 1998b.
-
(1998)
SIAM Journal on Scientific Computation
, vol.164
, pp. 157-171
-
-
Collino, F.1
Monk, P.2
-
25
-
-
0035071437
-
Application of the PML absorbing layer model to the linear elastodynamic problem in anisotropic heteregeneous media
-
F. Collino and C. Tsogka. Application of the PML absorbing layer model to the linear elastodynamic problem in anisotropic heteregeneous media. Geophysics, 66:294-305, 2001.
-
(2001)
Geophysics
, vol.66
, pp. 294-305
-
-
Collino, F.1
Tsogka, C.2
-
26
-
-
85053508459
-
-
V.A. Dougalis, J.A. Ekaterinaris, and N.A. Kampanis, editors, Numerical Insight. CRC Press
-
G. Derveaux, P. Joly, and C. Tsogka. Numerical methods for elastic wave propagation. In V.A. Dougalis, J.A. Ekaterinaris, and N.A. Kampanis, editors, Numerical Insight. CRC Press, 2006.
-
Numerical Methods for Elastic Wave Propagation
, pp. 2006
-
-
Derveaux, G.1
Joly, P.2
Tsogka, C.3
-
29
-
-
0000807980
-
L 2-estimates for Galerkin methods for second order hyperbolic equations
-
T. Dupont. L 2-estimates for Galerkin methods for second order hyperbolic equations. SIAM Journal on Numerical Analysis, 10:880-889, 1973.
-
(1973)
SIAM Journal on Numerical Analysis
, vol.10
, pp. 880-889
-
-
Dupont, T.1
-
32
-
-
84966208271
-
Absorbing boundary conditions for the numerical simulation of waves
-
B. Engquist and A. Majda. Absorbing boundary conditions for the numerical simulation of waves. Mathematics of Computation, 31:629-651, 1977.
-
(1977)
Mathematics of Computation
, vol.31
, pp. 629-651
-
-
Engquist, B.1
Majda, A.2
-
36
-
-
0000606420
-
On the boundary-value problems of the theory of elasticity and Korn’s inequality
-
K.O. Friedrichs. On the boundary-value problems of the theory of elasticity and Korn’s inequality. Annals of Mathematics, Second Series, 48:441-471, 1947.
-
(1947)
Annals of Mathematics, Second Series
, vol.48
, pp. 441-471
-
-
Friedrichs, K.O.1
-
37
-
-
14844339312
-
Orthogonal Polynomials: Computation and Approximation
-
Oxford University Press
-
W. Gautschi. Orthogonal Polynomials: Computation and Approximation. Numerical Mathematics and Scientific Computation. Oxford University Press, 2004.
-
(2004)
Numerical Mathematics and Scientific Computation
-
-
Gautschi, W.1
-
38
-
-
0001790517
-
Contre-exemples à l’inégalité de Korn et au lemme de Lions dans des domaines irréguliers
-
Gauthier-Villars
-
G. Geymonat and G. Gilardi. Contre-exemples à l’inégalité de Korn et au lemme de Lions dans des domaines irréguliers. In Équations aux Dérivées Partielles et Applications, pages 541-548. Gauthier-Villars, 1998.
-
(1998)
Équations Aux Dérivées Partielles Et Applications
, pp. 541-548
-
-
Geymonat, G.1
Gilardi, G.2
-
39
-
-
1642325209
-
High-order local non-reflecting boundary conditions: A review
-
D. Givoli. High-order local non-reflecting boundary conditions: a review. Wave Motion, 39:319-326, 2004.
-
(2004)
Wave Motion
, vol.39
, pp. 319-326
-
-
Givoli, D.1
-
41
-
-
0029292813
-
Exact nonreflecting boundary conditions for the time dependent wave equation
-
M. Grote and J. Keller. Exact nonreflecting boundary conditions for the time dependent wave equation. SIAM Journal on Applied Mathematics, 55:280-297, 1995.
-
(1995)
SIAM Journal on Applied Mathematics
, vol.55
, pp. 280-297
-
-
Grote, M.1
Keller, J.2
-
42
-
-
0030209904
-
Nonreflecting boundary conditions for time dependent scattering
-
M. Grote and J. Keller. Nonreflecting boundary conditions for time dependent scattering. Journal of Computational Physics, 127:52-81, 1996.
-
(1996)
Journal of Computational Physics
, vol.127
, pp. 52-81
-
-
Grote, M.1
Keller, J.2
-
43
-
-
0001886048
-
On high-order radiation boundary condition
-
Springer
-
T. Hagstrom. On high-order radiation boundary condition. In B. Engquist and G.A. Kriegsmann, editors, Computational Wave Propagation, volume 86, pages 1-21. Springer, 1997.
-
(1997)
B. Engquist and G.A. Kriegsmann, Editors, Computational Wave Propagation
, vol.86
, pp. 1-21
-
-
Hagstrom, T.1
-
44
-
-
85011457104
-
Radiation boundary conditions for the numerical simulation of waves
-
T. Hagstrom. Radiation boundary conditions for the numerical simulation of waves. Acta numerica, 8:47-106, 1999.
-
(1999)
Acta Numerica
, vol.8
, pp. 47-106
-
-
Hagstrom, T.1
-
46
-
-
0032141095
-
A formulation of asymptotic and exact boundary conditions using local operators
-
T. Hagstrom and S.I. Hariharan. A formulation of asymptotic and exact boundary conditions using local operators. Applied Numerical Mathematics, 27:403-416, 1998.
-
(1998)
Applied Numerical Mathematics
, vol.27
, pp. 403-416
-
-
Hagstrom, T.1
Hariharan, S.I.2
-
48
-
-
0029858582
-
Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation
-
F. Hastings, J.B. Schneider, and S.L. Broschat. Application of the perfectly matched layer (PML) absorbing boundary condition to elastic wave propagation. Journal of the Acoustical Society of America, 100:3061-3069, 1996.
-
(1996)
Journal of the Acoustical Society of America
, vol.100
, pp. 3061-3069
-
-
Hastings, F.1
Schneider, J.B.2
Broschat, S.L.3
-
49
-
-
0022728049
-
Initial-boundary value problems for linear hyperbolic systems
-
R.L. Higdon. Initial-boundary value problems for linear hyperbolic systems. SIAM Review, 28:177-217, 1986.
-
(1986)
SIAM Review
, vol.28
, pp. 177-217
-
-
Higdon, R.L.1
-
50
-
-
0025476463
-
Radiation boundary conditions for elastic wave propagation
-
R.L. Higdon. Radiation boundary conditions for elastic wave propagation. SIAM Journal on Numerical Analysis, 27:831-870, 1990.
-
(1990)
SIAM Journal on Numerical Analysis
, vol.27
, pp. 831-870
-
-
Higdon, R.L.1
-
51
-
-
0025925925
-
Absorbing boundary conditions for elastic waves
-
R.L. Higdon. Absorbing boundary conditions for elastic waves. Geophysics, 56:231-241, 1991.
-
(1991)
Geophysics
, vol.56
, pp. 231-241
-
-
Higdon, R.L.1
-
52
-
-
0000949380
-
Absorbing boundary conditions for acoustic and elastic waves in stratified media
-
R.L. Higdon. Absorbing boundary conditions for acoustic and elastic waves in stratified media. Journal of Computational Physics, 101:386-418, 1992.
-
(1992)
Journal of Computational Physics
, vol.101
, pp. 386-418
-
-
Higdon, R.L.1
-
57
-
-
85053502674
-
Initial-Boundary Value Problems and the Navier-Stokes Equations
-
H-O. Kreiss and J. Lorenz. Initial-Boundary Value Problems and the Navier-Stokes Equations. Academic Press, 1989.
-
(1989)
Academic Press
-
-
Kreiss, H.-O.1
Lorenz, J.2
-
58
-
-
11744350396
-
Free space boundary conditions for time dependant wave equation
-
E. Lindman. Free space boundary conditions for time dependant wave equation. Journal of Computational Physics, 18:66-78, 1975.
-
(1975)
Journal of Computational Physics
, vol.18
, pp. 66-78
-
-
Lindman, E.1
-
61
-
-
0035618464
-
Higher-order mass-lumped finite elements for the wave equation
-
W.A. Mulder. Higher-order mass-lumped finite elements for the wave equation. Journal of Computational Acoustics, 9:671-680, 2001.
-
(2001)
Journal of Computational Acoustics
, vol.9
, pp. 671-680
-
-
Mulder, W.A.1
-
62
-
-
0000667107
-
On Korn’s second inequality
-
J.A. Nitsche. On Korn’s second inequality. RAIRO Analyse Numérique, 15:237-248, 1981.
-
(1981)
RAIRO Analyse Numérique
, vol.15
, pp. 237-248
-
-
Nitsche, J.A.1
-
63
-
-
0028852188
-
An optimal absorbing boundary condition for elastic wave modeling
-
C. Peng and M.N. Toksoz. An optimal absorbing boundary condition for elastic wave modeling. Geophysics, 60:296-301, 1995.
-
(1995)
Geophysics
, vol.60
, pp. 296-301
-
-
Peng, C.1
Toksoz, M.N.2
-
64
-
-
0002210417
-
A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell’s equations with high-order staggered finite difference schemes
-
P.G. Petropoulos, L. Zhao, and A.C. Cangellaris. A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell’s equations with high-order staggered finite difference schemes. Journal of Computational Physics, 139:184-208, 1998.
-
(1998)
Journal of Computational Physics
, vol.139
, pp. 184-208
-
-
Petropoulos, P.G.1
Zhao, L.2
Cangellaris, A.C.3
-
65
-
-
0032075949
-
Instability in applying absorbing boundary conditions to high-order seismic modeling algorithms
-
A. Simone and S. Hestholm. Instability in applying absorbing boundary conditions to high-order seismic modeling algorithms. Geophysics, 63:1017-1023, 1998.
-
(1998)
Geophysics
, vol.63
, pp. 1017-1023
-
-
Simone, A.1
Hestholm, S.2
-
66
-
-
0023525505
-
Absorbing boundary conditions and surface waves
-
J. Sochacki, R. Kubichek, J. George, W.R. Fletcher, and S. Smithson. Absorbing boundary conditions and surface waves. Geophysics, 52:60-71, 1987.
-
(1987)
Geophysics
, vol.52
, pp. 60-71
-
-
Sochacki, J.1
Kubichek, R.2
George, J.3
Fletcher, W.R.4
Smithson, S.5
-
68
-
-
0000665373
-
Perfectly matched layer as an absorbing boundary condition for the linearized Euler equations in open and ducted domains
-
C.K.W. Tam, L. Auriault, and F. Cambuli. Perfectly matched layer as an absorbing boundary condition for the linearized Euler equations in open and ducted domains. Journal of Computational Physics, 144:213-234, 1998.
-
(1998)
Journal of Computational Physics
, vol.144
, pp. 213-234
-
-
Tam, C.K.W.1
Auriault, L.2
Cambuli, F.3
-
70
-
-
0032025544
-
Analytical derivation of a conformal perfectly matched absorber for electromagnetic waves
-
F.L. Teixeira and W.C. Chew. Analytical derivation of a conformal perfectly matched absorber for electromagnetic waves. Microwave and Optical Technology Letters, 17: 231-236, 1998.
-
(1998)
Microwave and Optical Technology Letters
, vol.17
, pp. 231-236
-
-
Teixeira, F.L.1
Chew, W.C.2
-
71
-
-
0032733386
-
Unified analysis of perfectly matched layers using differential forms
-
F.L. Teixeira and W.C. Chew. Unified analysis of perfectly matched layers using differential forms. Microwave and Optical Technology Letters, 20:124-126, 1999.
-
(1999)
Microwave and Optical Technology Letters
, vol.20
, pp. 124-126
-
-
Teixeira, F.L.1
Chew, W.C.2
-
73
-
-
84966217680
-
Well posedness of one way equations and absorbing boundary conditions
-
L. Trefethen and L. Halpern. Well posedness of one way equations and absorbing boundary conditions. Mathematics of Computation, 47:421-435, 1986.
-
(1986)
Mathematics of Computation
, vol.47
, pp. 421-435
-
-
Trefethen, L.1
Halpern, L.2
-
74
-
-
0000125555
-
Group velocity in finite difference schemes
-
L.N. Trefethen. Group velocity in finite difference schemes. SIAM Review, 24, 1982.
-
(1982)
SIAM Review
, pp. 24
-
-
Trefethen, L.N.1
-
75
-
-
0001185178
-
Group velocity interpretation of the stability theory of Gustafsson, Kreiss and Sundström
-
L.N. Trefethen. Group velocity interpretation of the stability theory of Gustafsson, Kreiss and Sundström. Journal of Computational Physics, 49, 1983.
-
(1983)
Journal of Computational Physics
, pp. 49
-
-
Trefethen, L.N.1
-
76
-
-
84990553414
-
Instability of difference models for hyperbolic initial boundary value problems
-
L.N. Trefethen. Instability of difference models for hyperbolic initial boundary value problems. Communications on Pure and Applied Mathematics, 37:329-367, 1984.
-
(1984)
Communications on Pure and Applied Mathematics
, vol.37
, pp. 329-367
-
-
Trefethen, L.N.1
-
77
-
-
0032137824
-
Absorbing PML boundary layers for wave-like equations. Absorbing boundary conditions
-
E. Turkel and A. Yefet. Absorbing PML boundary layers for wave-like equations. Absorbing boundary conditions. Applied Numerical Mathematics, 27:553-557, 1998.
-
(1998)
Applied Numerical Mathematics
, vol.27
, pp. 553-557
-
-
Turkel, E.1
Yefet, A.2
-
78
-
-
0030387909
-
A general approach to for developping unsplit-field time-domain implementations of perfectly matched layers for FDTD grid truncation
-
L. Zhao and A.C. Cangellaris. A general approach to for developping unsplit-field time-domain implementations of perfectly matched layers for FDTD grid truncation. IEEE Transactions on Microwave Theory and Technology, 44:2555-2563, 1996.
-
(1996)
IEEE Transactions on Microwave Theory and Technology
, vol.44
, pp. 2555-2563
-
-
Zhao, L.1
Cangellaris, A.C.2
|