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Volumn 29, Issue 10, 2013, Pages

A numerical method to compute interior transmission eigenvalues

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC SCATTERING; BOUNDARY INTEGRAL EQUATION METHOD; COMPUTATIONAL COSTS; DIRICHLET PROBLEM; INTERIOR TRANSMISSION EIGENVALUES; INTERIOR TRANSMISSION PROBLEMS; NUMERICAL CALCULATION; TRANSMISSION EIGENVALUES;

EID: 84884655216     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/29/10/104012     Document Type: Article
Times cited : (67)

References (25)
  • 2
    • 84858764451 scopus 로고    scopus 로고
    • An integral method for solving nonlinear eigenvalue problems
    • 10.1016/j.laa.2011.03.030 0024-3795
    • Beyn W-J 2012 An integral method for solving nonlinear eigenvalue problems Linear Algebra Appl. 436 3839-63
    • (2012) Linear Algebra Appl. , vol.436 , pp. 3839-3863
    • Beyn, W.-J.1
  • 4
    • 67651235537 scopus 로고    scopus 로고
    • On the existence of transmission eigenvalues in an inhomogeneous medium
    • 10.1080/00036810802713966
    • Cakoni F and Haddar H 2009 On the existence of transmission eigenvalues in an inhomogeneous medium Appl. Anal. 88 475-93
    • (2009) Appl. Anal. , vol.88 , pp. 475-493
    • Cakoni, F.1    Haddar, H.2
  • 5
    • 84885380611 scopus 로고    scopus 로고
    • Transmission eigenvalues in inverse scattering theory
    • Cakoni F and Haddar H 2012 Transmission eigenvalues in inverse scattering theory Inverse Problems and Applications: Inside Out II (MSRI Publications vol 60) ed G Uhlmann (Berlin: Springer) pp 527-78
    • (2012) Inverse Problems and Applications: Inside Out II , pp. 527-578
    • Cakoni, F.1    Haddar, H.2
  • 6
    • 77950574432 scopus 로고    scopus 로고
    • The existence of an infinite discrete set of transmission eigenvalues
    • 10.1137/090769338 0036-1410
    • Cakoni F, Gintides D and Haddar H 2010 The existence of an infinite discrete set of transmission eigenvalues SIAM J. Math. Anal. 42 237-55
    • (2010) SIAM J. Math. Anal. , vol.42 , pp. 237-255
    • Cakoni, F.1    Gintides, D.2    Haddar, H.3
  • 8
    • 0343683857 scopus 로고
    • The inverse scattering problem for timeharmonic acoustic waves in an inhomogeneous medium
    • 10.1093/qjmam/41.1.97 0033-5614
    • Colton D and Monk P 1988 The inverse scattering problem for timeharmonic acoustic waves in an inhomogeneous medium Q. J. Mech. Appl. Math. 41 97-125
    • (1988) Q. J. Mech. Appl. Math. , vol.41 , pp. 97-125
    • Colton, D.1    Monk, P.2
  • 10
    • 0012355575 scopus 로고
    • Far-field patterns for acoustic waves in an inhomogeneous medium
    • 10.1137/0520096 0036-1410
    • Colton D, Kirsch A and Päivärinta L 1989 Far-field patterns for acoustic waves in an inhomogeneous medium SIAM J. Math. Anal. 20 1472-83
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1472-1483
    • Colton, D.1    Kirsch, A.2    Päivärinta, L.3
  • 11
    • 84885386369 scopus 로고    scopus 로고
    • Cossonnière A 2011 Valeurs propres de transmission et leur utilisation dans l'identification d'inclusions à partir de mesures électromagnétiques PhD Thesis Université de Toulouse
    • (2011) PhD Thesis
    • Cossonnière, A.1
  • 12
    • 84885378013 scopus 로고    scopus 로고
    • Surface integral formulations of the interior transmission problem
    • Cossonnière A and Haddar H 2013 Surface integral formulations of the interior transmission problem J. Integral Eqns Appl. at press (http://projecteuclid.org/euclid.jiea/1363266299)
    • (2013) J. Integral Eqns Appl.
    • Cossonnière, A.1    Haddar, H.2
  • 13
    • 84866036452 scopus 로고    scopus 로고
    • Interior transmission problem with refractive index having C2-transition to the background medium
    • 10.1080/00036811.2011.577741
    • Hickmann K 2012 Interior transmission problem with refractive index having C2-transition to the background medium Appl. Anal. 91 1675-90
    • (2012) Appl. Anal. , vol.91 , pp. 1675-1690
    • Hickmann, K.1
  • 14
    • 0008426112 scopus 로고
    • The denseness of the far field patterns for the transmission problem
    • 10.1093/imamat/37.3.213 0272-4960
    • Kirsch A 1986 The denseness of the far field patterns for the transmission problem IMA J. Appl. Math. 37 213-25
    • (1986) IMA J. Appl. Math. , vol.37 , pp. 213-225
    • Kirsch, A.1
  • 16
    • 84884142023 scopus 로고    scopus 로고
    • The factorization method for a conductive boundary condition
    • 10.1216/JIE-2012-24-4-575
    • Kirsch A and Kleefeld A 2012 The factorization method for a conductive boundary condition J. Integral Eqns Appl. 24 575-601
    • (2012) J. Integral Eqns Appl. , vol.24 , pp. 575-601
    • Kirsch, A.1    Kleefeld, A.2
  • 17
    • 84885387465 scopus 로고    scopus 로고
    • Kleefeld A 2009 Direct and inverse acoustic scattering for three-dimensional surfaces PhD Thesis University of Wisconsin, Milwaukee
    • (2009) PhD Thesis
    • Kleefeld, A.1
  • 18
    • 84870605143 scopus 로고    scopus 로고
    • The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions
    • 10.1080/00207160.2012.709932
    • Kleefeld A 2012 The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions Int. J. Comput. Math. 89 2392-409
    • (2012) Int. J. Comput. Math. , vol.89 , pp. 2392-2409
    • Kleefeld, A.1
  • 19
    • 84867574549 scopus 로고    scopus 로고
    • A modified boundary integral equation for solving the exterior Robin problem for the Helmholtz equation in three dimensions
    • 10.1016/j.amc.2012.08.055 0096-3003
    • Kleefeld A 2012 A modified boundary integral equation for solving the exterior Robin problem for the Helmholtz equation in three dimensions Appl. Math. Comput. 219 2114-23
    • (2012) Appl. Math. Comput. , vol.219 , pp. 2114-2123
    • Kleefeld, A.1
  • 20
    • 84868618367 scopus 로고    scopus 로고
    • The transmission problem for the Helmholtz equation in
    • 10.2478/cmam-2012-0008 1609-4840
    • Kleefeld A 2012 The transmission problem for the Helmholtz equation in Comput. Methods Appl. Math. 12 330-50
    • (2012) Comput. Methods Appl. Math. , vol.12 , pp. 330-350
    • Kleefeld, A.1
  • 21
    • 80052338012 scopus 로고    scopus 로고
    • The nonlinear Landweber method applied to an inverse scattering problem for sound-soft obstacles in 3D
    • 10.1016/j.cpc.2011.07.023 0010-4655
    • Kleefeld A and Lin T-C 2011 The nonlinear Landweber method applied to an inverse scattering problem for sound-soft obstacles in 3D Comput. Phys. Commun. 182 2550-60
    • (2011) Comput. Phys. Commun. , vol.182 , pp. 2550-2560
    • Kleefeld, A.1    Lin, T.-C.2
  • 22
    • 84868629424 scopus 로고    scopus 로고
    • Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions
    • Kleefeld A and Lin T-C 2012 Boundary element collocation method for solving the exterior Neumann problem for Helmholtz's equation in three dimensions Electron. Trans. Numer. Anal. 39 113-43 (http://etna.mcs.kent.edu/ vol.39.2012/pp113-143.dir/pp113-143.html)
    • (2012) Electron. Trans. Numer. Anal. , vol.39 , pp. 113-143
    • Kleefeld, A.1    Lin, T.-C.2
  • 24
    • 0000423623 scopus 로고
    • The interior transmission problem and inverse scattering from inhomogeneous media
    • 10.1137/0522109 0036-1410
    • Rynne B P and Sleeman B D 1991 The interior transmission problem and inverse scattering from inhomogeneous media SIAM J. Math. Anal. 22 1755-62
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1755-1762
    • Rynne, B.P.1    Sleeman, B.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.