-
4
-
-
24944511619
-
Adaptive curvilinear coordinates in a plane-wave solution of Maxwell's equations in photonic crystals
-
G.J. Pearce, T.D. Hedley, and D.M. Bird Adaptive curvilinear coordinates in a plane-wave solution of Maxwell's equations in photonic crystals Phys. Rev. B 71 2005 195108
-
(2005)
Phys. Rev. B
, vol.71
, pp. 195108
-
-
Pearce, G.J.1
Hedley, T.D.2
Bird, D.M.3
-
5
-
-
0000278298
-
Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis
-
S.G. Johnson, and J.D. Joannopoulos Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis Opt. Express 8 2001 173 190
-
(2001)
Opt. Express
, vol.8
, pp. 173-190
-
-
Johnson, S.G.1
Joannopoulos, J.D.2
-
6
-
-
2942550877
-
Convergence problem of plane-wave expansion method for phononic crystals
-
Y. Cao, Z. Hou, and Y. Liu Convergence problem of plane-wave expansion method for phononic crystals Phys. Lett. A 327 2004 247 253
-
(2004)
Phys. Lett. A
, vol.327
, pp. 247-253
-
-
Cao, Y.1
Hou, Z.2
Liu, Y.3
-
7
-
-
77649113110
-
Convergence analysis of planewave expansion methods for 2D Schrödinger operators with discontinuous periodic potentials
-
ACM ID: 1958336
-
R. Norton, and R. Scheichl Convergence analysis of planewave expansion methods for 2D Schrödinger operators with discontinuous periodic potentials SIAM J. Numer. Anal. 47 2010 4356 4380 ACM ID: 1958336
-
(2010)
SIAM J. Numer. Anal.
, vol.47
, pp. 4356-4380
-
-
Norton, R.1
Scheichl, R.2
-
9
-
-
0006078242
-
An efficient finite element method for computing spectra of photonic and acoustic band-gap materials
-
W. Axmann, and P. Kuchment An efficient finite element method for computing spectra of photonic and acoustic band-gap materials J. Comput. Phys. 150 1999 468 481
-
(1999)
J. Comput. Phys.
, vol.150
, pp. 468-481
-
-
Axmann, W.1
Kuchment, P.2
-
10
-
-
33751184170
-
Modified edge finite elements for photonic crystals
-
D. Boffi, M. Conforti, and L. Gastaldi Modified edge finite elements for photonic crystals Numer. Math. 105 2006 249 266
-
(2006)
Numer. Math.
, vol.105
, pp. 249-266
-
-
Boffi, D.1
Conforti, M.2
Gastaldi, L.3
-
11
-
-
0000060612
-
An efficient method for band structure calculations in 2D photonic crystals
-
D.C. Dobson An efficient method for band structure calculations in 2D photonic crystals J. Comput. Phys. 149 1999 363 376
-
(1999)
J. Comput. Phys.
, vol.149
, pp. 363-376
-
-
Dobson, D.C.1
-
12
-
-
0000404778
-
An efficient method for band structure calculations in 3D photonic crystals
-
D.C. Dobson, J. Gopalakrishnan, and J.E. Pasciak An efficient method for band structure calculations in 3D photonic crystals J. Comput. Phys. 161 2000 668 679
-
(2000)
J. Comput. Phys.
, vol.161
, pp. 668-679
-
-
Dobson, D.C.1
Gopalakrishnan, J.2
Pasciak, J.E.3
-
13
-
-
84859731509
-
Adaptive finite element methods for computing band gaps in photonic crystals
-
doi:10.1007/s00211-011-0425-9 in press
-
S. Giani, I.G. Graham, Adaptive finite element methods for computing band gaps in photonic crystals, Numer. Math. (2011), in press (doi:10.1007/s00211- 011-0425-9).
-
(2011)
Numer. Math.
-
-
Giani, S.1
Graham, I.G.2
-
15
-
-
60249088274
-
Computation of the band structure of two-dimensional photonic crystals with hp finite elements
-
K. Schmidt, and P. Kauf Computation of the band structure of two-dimensional photonic crystals with hp finite elements Comput. Methods Appl. Mech. Eng. 198 2009 1249 1259
-
(2009)
Comput. Methods Appl. Mech. Eng.
, vol.198
, pp. 1249-1259
-
-
Schmidt, K.1
Kauf, P.2
-
16
-
-
77950242032
-
Efficient computation of photonic crystal waveguide modes with dispersive material
-
K. Schmidt, and R. Kappeler Efficient computation of photonic crystal waveguide modes with dispersive material Opt. Express 18 2010 7307 7322
-
(2010)
Opt. Express
, vol.18
, pp. 7307-7322
-
-
Schmidt, K.1
Kappeler, R.2
-
17
-
-
84864807615
-
An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems
-
in press
-
S. Giani, E. Hall, An a posteriori error estimator for hp-adaptive discontinuous Galerkin methods for elliptic eigenvalue problems, Math. Models Methods Appl. Sci. (2011) (in press).
-
(2011)
Math. Models Methods Appl. Sci.
-
-
Giani, S.1
Hall, E.2
-
18
-
-
78049303077
-
Complex dispersion relation calculations with the symmetric interior penalty method
-
C. Engström, and M. Wang Complex dispersion relation calculations with the symmetric interior penalty method Internat. J. Numer. Methods Engrg. 84 2010 849 863
-
(2010)
Internat. J. Numer. Methods Engrg.
, vol.84
, pp. 849-863
-
-
Engström, C.1
Wang, M.2
-
19
-
-
0001325714
-
The mathematics of photonic crystals
-
P. Kuchment The mathematics of photonic crystals SIAM Frontiers Appl. Math. 22 2001 207 272
-
(2001)
SIAM Frontiers Appl. Math.
, vol.22
, pp. 207-272
-
-
Kuchment, P.1
-
21
-
-
84863985553
-
A periodic magnetic Hamiltonian with a variable metric. The problem of absolute continuity
-
M.S. Birman, and T.A. Suslina A periodic magnetic Hamiltonian with a variable metric. The problem of absolute continuity St. Petersburg Math. J. 1999 10 15
-
(1999)
St. Petersburg Math. J.
, pp. 10-15
-
-
Birman, M.S.1
Suslina, T.A.2
-
23
-
-
65249178885
-
A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity
-
A. Ern, A.F. Stephansen, and P. Zunino A discontinuous Galerkin method with weighted averages for advection-diffusion equations with locally small and anisotropic diffusivity IMA J. Numer. Anal. 29 2009 235 256
-
(2009)
IMA J. Numer. Anal.
, vol.29
, pp. 235-256
-
-
Ern, A.1
Stephansen, A.F.2
Zunino, P.3
-
24
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini Unified analysis of discontinuous Galerkin methods for elliptic problems SIAM J. Numer. Anal. 39 2001 1749 1779
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Marini, L.D.4
-
25
-
-
0036556363
-
Discontinuous hp-finite element methods for advection-diffusion reaction problems
-
P. Houston, C. Schwab, and E. Süli Discontinuous hp-finite element methods for advection-diffusion reaction problems SIAM J. Numer. Anal. 39 2002 2133 2163
-
(2002)
SIAM J. Numer. Anal.
, vol.39
, pp. 2133-2163
-
-
Houston, P.1
Schwab, C.2
Süli, E.3
-
27
-
-
33846255479
-
Energy norm a posteriori error estimation of hp-adaptive discontinuous Galerkin methods for elliptic problems
-
P. Houston, D. Schötzau, and T.P. Wihler Energy norm a posteriori error estimation of hp-adaptive discontinuous Galerkin methods for elliptic problems Math. Models Methods Appl. Sci. 17 2007 33 62
-
(2007)
Math. Models Methods Appl. Sci.
, vol.17
, pp. 33-62
-
-
Houston, P.1
Schötzau, D.2
Wihler, T.P.3
-
28
-
-
41549113318
-
A posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems
-
P. Houston, E. Süli, and T.P. Wihler A posteriori error analysis of hp-version discontinuous Galerkin finite element methods for second-order quasilinear elliptic problems IMA J. Numer. Anal. 28 2008 245 273
-
(2008)
IMA J. Numer. Anal.
, vol.28
, pp. 245-273
-
-
Houston, P.1
Süli, E.2
Wihler, T.P.3
-
29
-
-
79952706918
-
A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations
-
L. Zhu, and D. Schötzau A robust a posteriori error estimate for hp-adaptive DG methods for convection-diffusion equations IMA J. Numer. Anal. 31 2011 971 1005
-
(2011)
IMA J. Numer. Anal.
, vol.31
, pp. 971-1005
-
-
Zhu, L.1
Schötzau, D.2
-
32
-
-
79952323922
-
Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions
-
L. Zhu, S. Giani, P. Houston, and D. Schötzau Energy norm a-posteriori error estimation for hp-adaptive discontinuous Galerkin methods for elliptic problems in three dimensions Math. Models Methods Appl. Sci. 21 2011 267 306
-
(2011)
Math. Models Methods Appl. Sci.
, vol.21
, pp. 267-306
-
-
Zhu, L.1
Giani, S.2
Houston, P.3
Schötzau, D.4
-
33
-
-
0002216535
-
Localized electromagnetic waves in a layered periodic dielectric medium with a defect
-
A. Figotin, and V. Gorentsveig Localized electromagnetic waves in a layered periodic dielectric medium with a defect Phys. Rev. B 58 1998 180 188
-
(1998)
Phys. Rev. B
, vol.58
, pp. 180-188
-
-
Figotin, A.1
Gorentsveig, V.2
-
34
-
-
0032289719
-
Midgap defect modes in dielectric and acoustic media
-
A. Figotin, and A. Klein Midgap defect modes in dielectric and acoustic media SIAM J. Appl. Math. 58 1998 1748 1773
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 1748-1773
-
-
Figotin, A.1
Klein, A.2
-
35
-
-
0030701098
-
Localized classical waves created by defects
-
A. Figotin, and A. Klein Localized classical waves created by defects J. Stat. Phys. 86 1997 165 177
-
(1997)
J. Stat. Phys.
, vol.86
, pp. 165-177
-
-
Figotin, A.1
Klein, A.2
-
36
-
-
0036104046
-
A posteriori error estimators for elliptic equations with discontinuous coefficients
-
M. Petzoldt A posteriori error estimators for elliptic equations with discontinuous coefficients Adv. Comput. Math. 16 2002 47 75
-
(2002)
Adv. Comput. Math.
, vol.16
, pp. 47-75
-
-
Petzoldt, M.1
-
37
-
-
33745433329
-
Convergence of the supercell method for defect modes calculations in photonic crystals
-
S. Soussi Convergence of the supercell method for defect modes calculations in photonic crystals SIAM J. Numer. Anal. 43 2005 1175 1201
-
(2005)
SIAM J. Numer. Anal.
, vol.43
, pp. 1175-1201
-
-
Soussi, S.1
-
39
-
-
33846706714
-
An adaptive strategy for hp-FEM based on testing for analyticity
-
T. Eibner, and J.M. Melenk An adaptive strategy for hp-FEM based on testing for analyticity Comput. Mech. 39 2006 575 595
-
(2006)
Comput. Mech.
, vol.39
, pp. 575-595
-
-
Eibner, T.1
Melenk, J.M.2
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