-
1
-
-
0003911656
-
Infinite elements
-
1 P. Bettess, Infinite elements, Penshaw Press, Sunderland, UK, 1992.
-
(1992)
-
-
Bettess, P.1
-
2
-
-
33645915453
-
A few new (?) facts about infinite elements
-
2 L. Demkowicz and J. Shen, A few new (?) facts about infinite elements, Comput Methods Appl Mech Eng 195 ( 2006), 3572–3590.
-
(2006)
Comput Methods Appl Mech Eng
, vol.195
, pp. 3572-3590
-
-
Demkowicz, L.1
Shen, J.2
-
3
-
-
0003741919
-
Numerical methods for problems in infinite domains
-
3 D. Givoli, Numerical methods for problems in infinite domains, Elsevier, Amsterdam, 1992.
-
(1992)
-
-
Givoli, D.1
-
4
-
-
0033708024
-
Exact nonreflecting boundary condition for elastic waves
-
4 M. J. Grote and J. B. Keller, Exact nonreflecting boundary condition for elastic waves, SIAM J Appl Math 60 ( 2000), 803–819.
-
(2000)
SIAM J Appl Math
, vol.60
, pp. 803-819
-
-
Grote, M.J.1
Keller, J.B.2
-
5
-
-
0034345543
-
Continued‐fraction absorbing boundary conditions for the wave equation
-
5 M. N. Guddati and J. L. Tassoulas, Continued‐fraction absorbing boundary conditions for the wave equation, J Comput Acoust 8 ( 2000), 139–156.
-
(2000)
J Comput Acoust
, vol.8
, pp. 139-156
-
-
Guddati, M.N.1
Tassoulas, J.L.2
-
6
-
-
28044459877
-
A perfectly matched layer for the absorption of electromagnetic waves
-
6 J.‐P. Bérenger, A perfectly matched layer for the absorption of electromagnetic waves, J Comput Phys 114 ( 1994), 185–200.
-
(1994)
J Comput Phys
, vol.114
, pp. 185-200
-
-
Bérenger, J.‐P.1
-
7
-
-
0346374852
-
New results on absorbing layers and radiation boundary conditions
-
7 T. Hagstrom, New results on absorbing layers and radiation boundary conditions, M. Ainsworth, P. Davies, D. Duncan, P. Martin, and B. Rynne, Topics in computational wave propagation—direct and inverse problems, Lecture notes in computational science and engineering, Vol. 31, Springer, New York, 2003, pp. 1–42.
-
(2003)
, vol.31
, pp. 1-42
-
-
Hagstrom, T.1
-
8
-
-
33646114050
-
Special issue on absorbing boundary conditions
-
8 F. Magoulès and I. Harari (editors), Special issue on absorbing boundary conditions, Comput Methods Appl Mech Eng 195 ( 2006), 3551–3902.
-
(2006)
Comput Methods Appl Mech Eng
, vol.195
, pp. 3551-3902
-
-
Magoulès, F.1
Harari, I.2
-
9
-
-
0032137784
-
Numerical solution of problems on unbounded domains. A review
-
9 S. V. Tsynkov, Numerical solution of problems on unbounded domains. A review, Appl Num Math 27 ( 1998), 465–532.
-
(1998)
Appl Num Math
, vol.27
, pp. 465-532
-
-
Tsynkov, S.V.1
-
10
-
-
0041667880
-
Complex variables: harmonic and analytic functions
-
10 F. J. Flanigan, Complex variables: harmonic and analytic functions, Dover, New York, 1983.
-
(1983)
-
-
Flanigan, F.J.1
-
11
-
-
0028498156
-
A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates
-
11 W. C. Chew and W. H. Weedon, A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates, Microwave Opt Technol Lett 7 ( 1994), 599–604.
-
(1994)
Microwave Opt Technol Lett
, vol.7
, pp. 599-604
-
-
Chew, W.C.1
Weedon, W.H.2
-
12
-
-
0030882734
-
The perfectly matched layer for acoustic waves in absorptive media
-
12 Q.‐H. Liu and J. Tao, The perfectly matched layer for acoustic waves in absorptive media, J Acoust Soc Am 102 ( 1997), 1997–2082.
-
(1997)
J Acoust Soc Am
, vol.102
, pp. 1997-2082
-
-
Liu, Q.‐H.1
Tao, J.2
-
13
-
-
0032966734
-
Perfectly matched layers for elastic waves in cylindrical and spherical coordinates
-
13 Q. H. Liu, Perfectly matched layers for elastic waves in cylindrical and spherical coordinates, J Acoust Soc Am 105 ( 1999), 2075–2084.
-
(1999)
J Acoust Soc Am
, vol.105
, pp. 2075-2084
-
-
Liu, Q.H.1
-
14
-
-
1442283790
-
chapter 7, in: Advances in the theory of perfectly matched layers
-
14 F. L. Teixeira and W. C. Chew, Advances in the theory of perfectly matched layers, W. C. Chew, J.‐M. Jin, E. Michielssen, and J. Song, Fast and efficient algorithms in computational electromagnetics, Artech House, Boston, 2001, chapter 7, pp. 283–346.
-
(2001)
, pp. 283-346
-
-
Teixeira, F.L.1
Chew, W.C.2
-
15
-
-
0035387585
-
The application of the perfectly matched layer in numerical modeling of wave propagation in poroelastic media
-
15 Y. Q. Zeng, J. Q. He, and Q. H. Liu, The application of the perfectly matched layer in numerical modeling of wave propagation in poroelastic media, Geophysics 66 ( 2001), 1258–1266.
-
(2001)
Geophysics
, vol.66
, pp. 1258-1266
-
-
Zeng, Y.Q.1
He, J.Q.2
Liu, Q.H.3
-
16
-
-
0031188291
-
A mathematical analysis of the PML method
-
16 S. Abarbanel and D. Gottlieb, A mathematical analysis of the PML method, J Comput Phys 134 ( 1997), 357–363.
-
(1997)
J Comput Phys
, vol.134
, pp. 357-363
-
-
Abarbanel, S.1
Gottlieb, D.2
-
17
-
-
0007538137
-
On the analysis and construction of perfectly matched layers for the linearized Euler equations
-
17 J. S. Hesthaven, On the analysis and construction of perfectly matched layers for the linearized Euler equations, J Comput Phys 142 ( 1998), 129–147.
-
(1998)
J Comput Phys
, vol.142
, pp. 129-147
-
-
Hesthaven, J.S.1
-
18
-
-
0003600290
-
Waves and fields in inhomogeneous media
-
18 W. C. Chew, Waves and fields in inhomogeneous media, IEEE Press, New York, 1995.
-
(1995)
-
-
Chew, W.C.1
-
19
-
-
0033363163
-
On causality and dynamic stability of perfectly matched layers for FDTD simulations
-
19 F. L. Teixeira and W. C. Chew, On causality and dynamic stability of perfectly matched layers for FDTD simulations, IEEE Trans Microwave Theory Techniques 47 ( 1999), 775–785.
-
(1999)
IEEE Trans Microwave Theory Techniques
, vol.47
, pp. 775-785
-
-
Teixeira, F.L.1
Chew, W.C.2
-
20
-
-
2942592781
-
On the long‐time behavior of unsplit perfectly matched layers
-
20 E. Bécache, P. G. Petropoulos, and S. D. Gedney, On the long‐time behavior of unsplit perfectly matched layers, IEEE Trans Antennas Propagatum 52 ( 2004), 1335–1342.
-
(2004)
IEEE Trans Antennas Propagatum
, vol.52
, pp. 1335-1342
-
-
Bécache, E.1
Petropoulos, P.G.2
Gedney, S.D.3
-
21
-
-
0032475725
-
Optimizing the perfectly matched layer
-
21 F. Collino and P. Monk, Optimizing the perfectly matched layer, Comput Methods Appl Mech Eng 164 ( 1998), 157–171.
-
(1998)
Comput Methods Appl Mech Eng
, vol.164
, pp. 157-171
-
-
Collino, F.1
Monk, P.2
-
22
-
-
0001078842
-
On the termination of the perfectly matched layer with local absorbing boundary conditions
-
22 P. G. Petropolous, On the termination of the perfectly matched layer with local absorbing boundary conditions, J Comput Phys 143 ( 1998), 665–673.
-
(1998)
J Comput Phys
, vol.143
, pp. 665-673
-
-
Petropolous, P.G.1
-
23
-
-
48149098632
-
Analysis of a finite PML approximation for the three dimensional time‐harmonic Maxwell and acoustic scattering problems
-
23 J. H. Bramble and J. E. Pasciak, Analysis of a finite PML approximation for the three dimensional time‐harmonic Maxwell and acoustic scattering problems, Math Comput, in press. Preprint available at: http://www.math.tamu.edu/˜bramble/papers.html.
-
Math Comput
-
-
Bramble, J.H.1
Pasciak, J.E.2
-
24
-
-
0034345540
-
Analytical and numerical studies of a finite element PML for the Helmholtz equation
-
24 I. Harari, M. Slavutin, and E. Turkel, Analytical and numerical studies of a finite element PML for the Helmholtz equation, J Comput Acoust 8 ( 2000), 121–137.
-
(2000)
J Comput Acoust
, vol.8
, pp. 121-137
-
-
Harari, I.1
Slavutin, M.2
Turkel, E.3
-
25
-
-
0030191020
-
Perfectly matched layers in the discretized space: an analysis and optimization
-
25 W. C. Chew and J. M. Jin, Perfectly matched layers in the discretized space: an analysis and optimization, Electromagnetics 16 ( 1996), 325–340.
-
(1996)
Electromagnetics
, vol.16
, pp. 325-340
-
-
Chew, W.C.1
Jin, J.M.2
-
26
-
-
0041663529
-
An analytical study of the discrete perfectly matched layer for the time‐domain Maxwell equations in cylindrical coordinates
-
26 P. G. Petropoulos, An analytical study of the discrete perfectly matched layer for the time‐domain Maxwell equations in cylindrical coordinates, IEEE Trans Antennas Propagat 51 ( 2003), 1671–1675.
-
(2003)
IEEE Trans Antennas Propagat
, vol.51
, pp. 1671-1675
-
-
Petropoulos, P.G.1
-
27
-
-
10444271795
-
Fully automatic hp‐adaptivity for Maxwell's equations
-
27 L. Demkowicz, Fully automatic hp ‐adaptivity for Maxwell's equations, Comput Methods Appl Mech Eng 194 ( 2005), 605–624.
-
(2005)
Comput Methods Appl Mech Eng
, vol.194
, pp. 605-624
-
-
Demkowicz, L.1
-
28
-
-
85056071553
-
Computing with hp‐adaptive finite elements. I. One‐ and two‐dimensional elliptic and Maxwell problems
-
28 L. Demkowicz, Computing with hp ‐adaptive finite elements. I. One‐ and two‐dimensional elliptic and Maxwell problems, CRC Press, Boca Raton, FL, 2006.
-
(2006)
-
-
Demkowicz, L.1
-
29
-
-
0004079177
-
Sound, structures, and their interaction
-
29 M. C. Junger and D. Feit, Sound, structures, and their interaction, 2nd ed., The MIT Press, Cambridge, Massachusetts, 1986.
-
(1986)
-
-
Junger, M.C.1
Feit, D.2
-
30
-
-
0003691880
-
Finite element analysis of acoustic scattering
-
30 F. Ihlenburg, Finite element analysis of acoustic scattering, Springer, New York, 1998.
-
(1998)
-
-
Ihlenburg, F.1
-
31
-
-
85120588583
-
A fully automatic hp‐adaptivity for elliptic PDEs in three dimensions
-
31 J. Kurtz and L. Demkowicz, A fully automatic hp ‐adaptivity for elliptic PDEs in three dimensions, Comput Methods Appl Mech Eng, submitted.
-
-
-
Kurtz, J.1
Demkowicz, L.2
-
32
-
-
0030061192
-
A three‐dimensional finite difference simulation of sonic logging
-
32 Q.‐H. Liu, E. Schoen, F. Daube, C. Randall, and P. Lee, A three‐dimensional finite difference simulation of sonic logging, J Acoust Soc Am 100 ( 1996), 72–79.
-
(1996)
J Acoust Soc Am
, vol.100
, pp. 72-79
-
-
Liu, Q.‐H.1
Schoen, E.2
Daube, F.3
Randall, C.4
Lee, P.5
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