-
1
-
-
0012135401
-
Long time behavior of the perfectly matched layer equations in computational electromagnetics
-
Uppsala
-
Abarbanel, S., Gottlieb, D., Hesthaven, J.S.: Long time behavior of the perfectly matched layer equations in computational electromagnetics. In: Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01) (Uppsala), vol. 17, pp. 405-422 (2002)
-
(2002)
Proceedings of the Fifth International Conference on Spectral and High Order Methods (ICOSAHOM-01)
, vol.17
, pp. 405-422
-
-
Abarbanel, S.1
Gottlieb, D.2
Hesthaven, J.S.3
-
2
-
-
0003362526
-
Sobolev spaces
-
Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London
-
Adams, R.A.: Sobolev spaces. Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London (1975). Pure and Applied Mathematics, vol. 65
-
(1975)
Pure and Applied Mathematics
, vol.65
-
-
Adams, R.A.1
-
3
-
-
33751173097
-
Theoretical numerical analysis
-
Springer, Berlin Heidelberg New York . A functional analysis framework
-
Atkinson, K., Han, W.: Theoretical Numerical Analysis. Texts in Applied Mathematics, vol. 39. Springer, Berlin Heidelberg New York (2001). A functional analysis framework
-
(2001)
Texts in Applied Mathematics
, vol.39
-
-
Atkinson, K.1
Han, W.2
-
4
-
-
0032165818
-
On the numerical analysis of finite element and Dirichlet-to-Neumann methods for nonlinear exterior transmission problems
-
Barrenechea, G.R., Barrientos, M.A., Gatica, G.N.: On the numerical analysis of finite element and Dirichlet-to-Neumann methods for nonlinear exterior transmission problems. Numer. Funct. Anal. Optim. 19(7-8), 705-735 (1998)
-
(1998)
Numer. Funct. Anal. Optim.
, vol.19
, Issue.7-8
, pp. 705-735
-
-
Barrenechea, G.R.1
Barrientos, M.A.2
Gatica, G.N.3
-
5
-
-
0032298986
-
Weak solvability of interior transmission problems via mixed finite elements and Dirichlet-to-Neumann mappings
-
Barrenechea, G.R., Gatica, G.N., Hsiao, G.C.: Weak solvability of interior transmission problems via mixed finite elements and Dirichlet-to-Neumann mappings. J. Comput. Appl. Math., 100(2), 145-160 (1998)
-
(1998)
J. Comput. Appl. Math.
, vol.100
, Issue.2
, pp. 145-160
-
-
Barrenechea, G.R.1
Gatica, G.N.2
Hsiao, G.C.3
-
6
-
-
0000753548
-
Boundary conditions for the numerical solution of elliptic equations in exterior regions
-
Alvin Bayliss, Max Gunzburger, Eli Turkel: Boundary conditions for the numerical solution of elliptic equations in exterior regions. SIAM J. Appl. Math. 42(2), 430-451 (1982)
-
(1982)
SIAM J. Appl. Math.
, vol.42
, Issue.2
, pp. 430-451
-
-
Bayliss, A.1
Gunzburger, M.2
Turkel, E.3
-
7
-
-
0036339907
-
On the analysis of Bérenger's perfectly matched layers for Maxwell's equations
-
Eliane Bécache, Patrick Joly. On the analysis of Bérenger's perfectly matched layers for Maxwell's equations. M2AN Math. Model. Numer. Anal. 36(1), 87-119 (2002)
-
(2002)
M2AN Math. Model. Numer. Anal.
, vol.36
, Issue.1
, pp. 87-119
-
-
Bécache, E.1
Joly, P.2
-
8
-
-
28044459877
-
A perfectly matched layer for the absorption of electromagnetic waves
-
Berenger, J.-P.: A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114(2), 185-200 (1994)
-
(1994)
J. Comput. Phys.
, vol.114
, Issue.2
, pp. 185-200
-
-
Berenger, J.-P.1
-
9
-
-
33751195829
-
Finite elements, 2nd edn
-
Cambridge University Press, Cambridge, Translated from the 1992 German edition by Larry L. Schumaker
-
Braess, D.: Finite Elements, 2nd edn. Cambridge University Press, Cambridge, (2001). Theory, fast solvers, and applications in solid mechanics, Translated from the 1992 German edition by Larry L. Schumaker.
-
(2001)
Theory, Fast Solvers, and Applications in Solid Mechanics
-
-
Braess, D.1
-
10
-
-
0003081462
-
A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications
-
Bruno, O.P., Kunyansky, L.A.: A fast, high-order algorithm for the solution of surface scattering problems: basic implementation, tests, and applications. J. Comput. Phys. 169(1), 80-110 (2001)
-
(2001)
J. Comput. Phys.
, vol.169
, Issue.1
, pp. 80-110
-
-
Bruno, O.P.1
Kunyansky, L.A.2
-
11
-
-
3042796907
-
Surface scattering in three dimensions: An accelerated high-order solver
-
Bruno, O.P., Kunyansky, L. A.: Surface scattering in three dimensions: an accelerated high-order solver. Proc. R. Soc. Lond. Proc. A 457 (2001)
-
(2001)
Proc. R. Soc. Lond. Proc. A
, vol.457
-
-
Bruno, O.P.1
Kunyansky, L.A.2
-
12
-
-
0017332471
-
Cauchy integrals on Lipschitz curves and related operators
-
Calderón, A.P.: Cauchy integrals on Lipschitz curves and related operators. Proc. Nat. Acad. Sci. USA 75, 1324-1327 (1977)
-
(1977)
Proc. Nat. Acad. Sci. USA
, vol.75
, pp. 1324-1327
-
-
Calderón, A.P.1
-
13
-
-
0002592298
-
Nonlinear harmonic analysis and analytic dependence
-
(Notre Dame, Ind., 1984). Amer. Math. Soc.
-
Coifman, R., Meyer, Y.: Nonlinear harmonic analysis and analytic dependence. In: Pseudo-differential Operators and Applications (Notre Dame, Ind., 1984), pp. 71-78. Amer. Math. Soc. (1985)
-
(1985)
Pseudo-differential Operators and Applications
, pp. 71-78
-
-
Coifman, R.1
Meyer, Y.2
-
15
-
-
0034550889
-
Traveling two and three dimensional capillary gravity water waves
-
Craig, W., Nicholls, D.P.: Traveling two and three dimensional capillary gravity water waves. SIAM J. Math. Anal. 32(2), 323-359 (2000)
-
(2000)
SIAM J. Math. Anal.
, vol.32
, Issue.2
, pp. 323-359
-
-
Craig, W.1
Nicholls, D.P.2
-
16
-
-
0001654990
-
The modulation regime of three-dimensional water waves and the Davey-Stewartson system
-
Craig, W., Schanz, U., Sulem, C.: The modulation regime of three-dimensional water waves and the Davey-Stewartson system. Ann. Inst. Henri Poincaré 14, 615-667 (1997)
-
(1997)
Ann. Inst. Henri Poincaré
, vol.14
, pp. 615-667
-
-
Craig, W.1
Schanz, U.2
Sulem, C.3
-
17
-
-
0035583920
-
Analysis of a coupled finite-infinite element method for exterior Helmholtz problems
-
Demkowicz, L., Ihlenburg, F.: Analysis of a coupled finite-infinite element method for exterior Helmholtz problems. Numer. Math. 88(1), 43-73 (2001)
-
(2001)
Numer. Math.
, vol.88
, Issue.1
, pp. 43-73
-
-
Demkowicz, L.1
Ihlenburg, F.2
-
18
-
-
0034147879
-
Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries
-
Finite elements for wave problems (Trieste, 1999)
-
Djellouli, R., Farhat, C., Macedo, A., Tezaur, R.: Finite element solution of two-dimensional acoustic scattering problems using arbitrarily shaped convex artificial boundaries. J. Comput. Acoust. 8(1), 81-99 (2000). Finite elements for wave problems (Trieste, 1999)
-
(2000)
J. Comput. Acoust.
, vol.8
, Issue.1
, pp. 81-99
-
-
Djellouli, R.1
Farhat, C.2
Macedo, A.3
Tezaur, R.4
-
19
-
-
84966208271
-
Absorbing boundary conditions for the numerical simulation of waves
-
Bjorn Engquist and Andrew Majda. Absorbing boundary conditions for the numerical simulation of waves. Math. Comput. 31(139), 629-651 (1977)
-
(1977)
Math. Comput.
, vol.31
, Issue.139
, pp. 629-651
-
-
Engquist, B.1
Majda, A.2
-
21
-
-
0001957867
-
Finite element method and natural boundary reduction
-
(Warsaw, 1983). Warsaw
-
Feng, K.: Finite element method and natural boundary reduction. In Proceedings of the International Congress of Mathematicians, vol. 1, 2 (Warsaw, 1983), pp. 1439-1453. Warsaw (1984)
-
(1984)
Proceedings of the International Congress of Mathematicians
, vol.1
, Issue.2
, pp. 1439-1453
-
-
Feng, K.1
-
22
-
-
0343962036
-
Canonical integral equations of elliptic boundary value problems and their numerical solutions
-
Science Press, Beijing
-
Feng, K., Yu, D.H.: Canonical integral equations of elliptic boundary value problems and their numerical solutions. In: Proceedings of China-France Symposium on the Finite Element Method, pp. 211-252. Science Press, Beijing (1982)
-
(1982)
Proceedings of China-France Symposium on the Finite Element Method
, pp. 211-252
-
-
Feng, K.1
Yu, D.H.2
-
23
-
-
0003212014
-
Introduction to partial differential equations
-
Princeton University Press, Princeton, NJ . Preliminary informal notes of university courses and seminars in mathematics
-
Folland, G.B.: Introduction to Partial Differential Equations. Princeton University Press, Princeton, NJ (1976). Preliminary informal notes of university courses and seminars in mathematics, Mathematical Notes
-
(1976)
Mathematical Notes
-
-
Folland, G.B.1
-
24
-
-
3042858769
-
A high-order algorithm for obstacle scattering in three dimensions
-
Ganesh, M., Graham, I.G.: A high-order algorithm for obstacle scattering in three dimensions. J. Comput. Phys. 198(1), 211-242 (2004)
-
(2004)
J. Comput. Phys.
, vol.198
, Issue.1
, pp. 211-242
-
-
Ganesh, M.1
Graham, I.G.2
-
26
-
-
0033417375
-
Recent advances in the DtN FE method
-
Givoli, D.: Recent advances in the DtN FE method. Arch. Comput. Methods Eng. 6(2), 71-116 (1999)
-
(1999)
Arch. Comput. Methods Eng.
, vol.6
, Issue.2
, pp. 71-116
-
-
Givoli, D.1
-
27
-
-
2142739347
-
Nonreflecting boundary conditions
-
Givoli, D.: Nonreflecting boundary conditions. J. Comput. Phys. 94(1), 1-29 (1991)
-
(1991)
J. Comput. Phys.
, vol.94
, Issue.1
, pp. 1-29
-
-
Givoli, D.1
-
28
-
-
0003285534
-
Numerical methods for problems in infinite domains
-
Elsevier, Amsterdam
-
Givoli, D.: Numerical Methods for Problems in Infinite Domains. Studies in Applied Mechanics, vol. 33. Elsevier, Amsterdam (1992)
-
(1992)
Studies in Applied Mechanics
, vol.33
-
-
Givoli, D.1
-
29
-
-
0002193620
-
Numerical analysis of spectral methods: Theory and applications
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
Gottlieb, D., Orszag, S.A.: Numerical Analysis of Spectral Methods: Theory and Applications. Society for Industrial and Applied Mathematics, Philadelphia, PA (1977). CBMS-NSF Regional Conference Series in Applied Mathematics, No. 26
-
(1977)
CBMS-NSF Regional Conference Series in Applied Mathematics
, vol.26
-
-
Gottlieb, D.1
Orszag, S.A.2
-
30
-
-
0029292813
-
Exact nonreflecting boundary conditions for the time dependent wave equation
-
Grote, M.J., Keller, J.B.: Exact nonreflecting boundary conditions for the time dependent wave equation. SIAM J. Appl. Math. 55(2), 280-297 (1995)
-
(1995)
SIAM J. Appl. Math.
, vol.55
, Issue.2
, pp. 280-297
-
-
Grote, M.J.1
Keller, J.B.2
-
31
-
-
0000907608
-
On nonreflecting boundary conditions
-
Grote, M.J., Keller, J.B.: On nonreflecting boundary conditions. J. Comput. Phys. 122(2), 231-243 (1995)
-
(1995)
J. Comput. Phys.
, vol.122
, Issue.2
, pp. 231-243
-
-
Grote, M.J.1
Keller, J.B.2
-
32
-
-
0000886748
-
Nonreflecting boundary conditions for Maxwell's equations
-
Grote, M.J., Keller, J.B.: Nonreflecting boundary conditions for Maxwell's equations. J. Comput. Phys. 139(2), 327-342 (1998)
-
(1998)
J. Comput. Phys.
, vol.139
, Issue.2
, pp. 327-342
-
-
Grote, M.J.1
Keller, J.B.2
-
33
-
-
0041856244
-
A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D
-
Guidotti, P.: A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D. J. Comput. Phys. 190(1), 325-345 (2003)
-
(2003)
J. Comput. Phys.
, vol.190
, Issue.1
, pp. 325-345
-
-
Guidotti, P.1
-
34
-
-
0000637294
-
Approximation of infinite boundary condition and its application to finite element methods
-
Han, H.D., Wu, X.N.: Approximation of infinite boundary condition and its application to finite element methods. J. Comput. Math. 3(2), 179-192 (1985)
-
(1985)
J. Comput. Math.
, vol.3
, Issue.2
, pp. 179-192
-
-
Han, H.D.1
Wu, X.N.2
-
35
-
-
0026862372
-
Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains
-
Harari, I., Hughes, T.J.R.: Analysis of continuous formulations underlying the computation of time-harmonic acoustics in exterior domains. Comput. Methods Appl. Mech. Eng. 97(1), 103-124 (1992)
-
(1992)
Comput. Methods Appl. Mech. Eng.
, vol.97
, Issue.1
, pp. 103-124
-
-
Harari, I.1
Hughes, T.J.R.2
-
36
-
-
33747535085
-
A finite element method for some integral equations of the first kind
-
Hsiao, G., Wendland, W.: A finite element method for some integral equations of the first kind. J. Math. Anal. Appl. 58 (1977)
-
(1977)
J. Math. Anal. Appl.
, vol.58
-
-
Hsiao, G.1
Wendland, W.2
-
37
-
-
33144483666
-
Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains
-
Hu, B., Nicholls, D.P.: Analyticity of Dirichlet-Neumann operators on Hölder and Lipschitz domains. SIAM J. Math. Anal. 37(1), 302-320 (2005)
-
(2005)
SIAM J. Math. Anal.
, vol.37
, Issue.1
, pp. 302-320
-
-
Hu, B.1
Nicholls, D.P.2
-
38
-
-
33750936785
-
The coupling natural boundary-finite element method for solving 3-D exterior Helmholtz problem
-
Jia, Z.P., Wu, J.M., Yu, D.H.: The coupling natural boundary-finite element method for solving 3-D exterior Helmholtz problem. Math. Numer. Sinica 23(3), 357-382 (2001)
-
(2001)
Math. Numer. Sinica
, vol.23
, Issue.3
, pp. 357-382
-
-
Jia, Z.P.1
Wu, J.M.2
Yu, D.H.3
-
39
-
-
84966247121
-
On the coupling of boundary integral and finite element methods
-
Johnson, C., Nédélec, J.-C.: On the coupling of boundary integral and finite element methods. Math. Comput. 35(152), 1063-1079 (1980)
-
(1980)
Math. Comput.
, vol.35
, Issue.152
, pp. 1063-1079
-
-
Johnson, C.1
Nédélec, J.-C.2
-
41
-
-
0000271460
-
Exact nonreflecting boundary conditions
-
Keller, J.B., Givoli, D.: Exact nonreflecting boundary conditions. J. Comput. Phys. 82(1), 172-192 (1989)
-
(1989)
J. Comput. Phys.
, vol.82
, Issue.1
, pp. 172-192
-
-
Keller, J.B.1
Givoli, D.2
-
43
-
-
0842269037
-
Exact non-reflecting boundary conditions on general domains
-
Nicholls, D.P., Nigam, N.: Exact non-reflecting boundary conditions on general domains. J. Comput. Phys. 194(1), 278-303 (2004)
-
(2004)
J. Comput. Phys.
, vol.194
, Issue.1
, pp. 278-303
-
-
Nicholls, D.P.1
Nigam, N.2
-
44
-
-
23044528812
-
A new approach to analyticity of Dirichlet-Neumann operators
-
Nicholls, D.P., Reitich, F.: A new approach to analyticity of Dirichlet-Neumann operators. Proc. Roy. Soc. Edinburgh Sect. A 131(6), 1411-1433 (2001)
-
(2001)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.131
, Issue.6
, pp. 1411-1433
-
-
Nicholls, D.P.1
Reitich, F.2
-
45
-
-
0000543204
-
Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators
-
Nicholls, D.P., Reitich, F.: Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators. J. Comput. Phys. 170(1), 276-298 (2001)
-
(2001)
J. Comput. Phys.
, vol.170
, Issue.1
, pp. 276-298
-
-
Nicholls, D.P.1
Reitich, F.2
-
46
-
-
0142023256
-
Analytic continuation of Dirichlet-Neumann operators
-
Nicholls, D.P., Reitich, F.: Analytic continuation of Dirichlet-Neumann operators. Numer. Math. 94(1), 107-146 (2003)
-
(2003)
Numer. Math.
, vol.94
, Issue.1
, pp. 107-146
-
-
Nicholls, D.P.1
Reitich, F.2
-
47
-
-
0012217766
-
An FEM-CSM combined method for planar exterior Laplace problems
-
Ushijima, T.: An FEM-CSM combined method for planar exterior Laplace problems. Japan J. Indust. Appl. Math. 18, 359-382 (2001)
-
(2001)
Japan J. Indust. Appl. Math.
, vol.18
, pp. 359-382
-
-
Ushijima, T.1
-
48
-
-
0003280174
-
Scattering theory for the d'Alembert equation in exterior domains
-
Springer, Berlin Heidelberg New York
-
Wilcox, C.H.: Scattering Theory for the d'Alembert Equation in Exterior Domains. Lecture Notes in Mathematics, vol. 442 Springer, Berlin Heidelberg New York (1975)
-
(1975)
Lecture Notes in Mathematics
, vol.442
-
-
Wilcox, C.H.1
-
49
-
-
33750940418
-
The natural integral equation of 3-D exterior Helmholtz problem and its numerical solution. Chinese
-
Wu, J.M., Yu, D.H.: The natural integral equation of 3-D exterior Helmholtz problem and its numerical solution. Chinese J. Comput. Phys. 16(5), 449-456 (1999)
-
(1999)
J. Comput. Phys.
, vol.16
, Issue.5
, pp. 449-456
-
-
Wu, J.M.1
Yu, D.H.2
-
50
-
-
0013397262
-
Coupling canonical boundary element method with FEM to solve harmonic problem over cracked domain
-
Yu, D.H.: Coupling canonical boundary element method with FEM to solve harmonic problem over cracked domain. J. Comput. Math. 1(3), 195-202 (1983)
-
(1983)
J. Comput. Math.
, vol.1
, Issue.3
, pp. 195-202
-
-
Yu, D.H.1
-
51
-
-
0000637292
-
Approximation of boundary conditions at infinity for a harmonic equation
-
Yu, D.H.: Approximation of boundary conditions at infinity for a harmonic equation. J. Comput. Math. 3(3), 219-227 (1985)
-
(1985)
J. Comput. Math.
, vol.3
, Issue.3
, pp. 219-227
-
-
Yu, D.H.1
-
54
-
-
0006037474
-
The non-overlapping DDM based on natural boundary reduction for 2-D exterior Helmholtz problem
-
Yu, D.H., Jia, Z.P.: The non-overlapping DDM based on natural boundary reduction for 2-D exterior Helmholtz problem. Math Numer. Sinica 22(2), 227-240 (2000)
-
(2000)
Math Numer. Sinica
, vol.22
, Issue.2
, pp. 227-240
-
-
Yu, D.H.1
Jia, Z.P.2
|