## Cakoni, Fioralba

Compute Distance To:
 Author ID: cakoni.fioralba Published as: Cakoni, Fioralba; Cakoni, F.
 Documents Indexed: 109 Publications since 1998, including 4 Books 4 Contributions as Editor Co-Authors: 54 Co-Authors with 111 Joint Publications 1,141 Co-Co-Authors
all top 5

### Co-Authors

 2 single-authored 35 Colton, David Lem 29 Haddar, Houssem 17 Monk, Peter B. 8 Moskow, Shari 7 Kress, Rainer 6 Meng, Shixu 6 Sun, Jiguang 4 Bochniak, Marius 4 Guzina, Bojan B. 4 Harris, Isaac 3 Bellis, Cédric 3 Darrigrand, Eric 3 Gintides, Drossos 3 Kirsch, Andreas 2 Bonnet, Marc 2 Chaulet, Nicolas 2 Dassios, George 2 de Teresa, Irene 2 Hsiao, George C. 2 Hu, Yuqing 2 Pangburn, Tayler 2 Rezac, Jacob D. 2 Rome, Scott 2 Schuft, Christian 2 Xiao, Jingni 2 Zeev, Noam 1 Ambrose, David M. 1 Audibert, Lorenzo 1 Bacuta, Constantin 1 Borcea, Liliana 1 Çayören, Mehmet 1 Chanillo, Sagun 1 Cossonnière, Anne 1 Di Cristo, Michele 1 Fares, M’Barek 1 Haddar, Housem 1 Hanke-Bourgeois, Martin 1 Kovtunenko, Viktor Anatolievich 1 Kow, Pu-Zhao 1 Le Louër, Frédérique 1 Lechleiter, Armin 1 Liu, Jijun 1 Nakamura, Gen 1 Nguyen, Hoai-Minh 1 Nguyen, Thi-Phong 1 Piana, Michele 1 Qin, Haihua 1 Selgas, Virginia 1 Sini, Mourad 1 Wang, Jenn-Nan 1 Wendland, Wolfgang L. 1 Yaman, O. Ivanyshyn 1 Zeng, Fang 1 Zhang, Yangwen
all top 5

### Serials

 30 Inverse Problems 10 Inverse Problems and Imaging 6 SIAM Journal on Applied Mathematics 6 SIAM Journal on Mathematical Analysis 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 Journal of Computational and Applied Mathematics 4 Journal of Integral Equations and Applications 2 Computers & Mathematics with Applications 2 IMA Journal of Applied Mathematics 2 Journal of Computational Physics 2 Methods and Applications of Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 CBMS-NSF Regional Conference Series in Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Mathematical Analysis and Applications 1 Mathematics and Computers in Simulation 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Complex Variables. Theory and Application 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 Acta Mathematica Sinica. English Series 1 Computational Methods in Applied Mathematics 1 Oberwolfach Reports 1 Complex Variables and Elliptic Equations 1 Applied Mathematical Sciences 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Analysis & PDE 1 International Journal of Computing Science and Mathematics 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Interaction of Mechanics and Mathematics
all top 5

### Fields

 96 Partial differential equations (35-XX) 68 Optics, electromagnetic theory (78-XX) 23 Numerical analysis (65-XX) 9 Integral equations (45-XX) 9 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

97 Publications have been cited 1,601 times in 659 Documents Cited by Year
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
2006
The existence of an infinite discrete set of transmission eigenvalues. Zbl 1210.35282
Cakoni, Fioralba; Gintides, Drossos; Haddar, Houssem
2010
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2016
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
2014
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
2011
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
2003
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
2010
Transmission eigenvalues in inverse scattering theory. Zbl 1316.35297
2013
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
2016
On the existence of transmission eigenvalues in an inhomogeneous medium. Zbl 1168.35448
2009
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
2007
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
2001
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
2014
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
2010
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
2008
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
2007
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
2005
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
2004
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
2004
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
An inverse electromagnetic scattering problem for a cavity. Zbl 1237.78019
Zeng, Fang; Cakoni, Fioralba; Sun, Jiguang
2011
Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem. Zbl 1222.65151
Qin, Hai-Hua; Cakoni, Fioralba
2011
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2002
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
2014
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
2003
The factorization method for a cavity in an inhomogeneous medium. Zbl 1287.35102
Meng, Shixu; Haddar, Houssem; Cakoni, Fioralba
2014
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
2005
Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects. Zbl 1099.35167
Cakoni, Fioralba; Fares, M’barek; Haddar, Houssem
2006
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146
Cakoni, Fioralba; Kress, Rainer
2013
Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Zbl 1308.78012
Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang
2014
New sets of eigenvalues in inverse scattering for inhomogeneous media and their determination from scattering data. Zbl 1422.65355
Audibert, Lorenzo; Cakoni, Fioralba; Haddar, Houssem
2017
Acoustic inverse scattering using topological derivative of far-field measurements-based $$L^2$$ cost functionals. Zbl 1282.65138
Bellis, Cédric; Bonnet, Marc; Cakoni, Fioralba
2013
The inverse scattering problem for a partially coated cavity with interior measurements. Zbl 1288.35489
Hu, Yuqing; Cakoni, Fioralba; Liu, Jijun
2014
On the interior transmission eigenvalue problem. Zbl 1204.78008
Cakoni, Fioralba; Kirsch, Andreas
2010
Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
Nature of the transmission eigenvalue spectrum for elastic bodies. Zbl 1280.35146
Bellis, Cédric; Cakoni, Fioralba; Guzina, Bojan B.
2013
A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225
Cakoni, Fioralba; Kress, Rainer
2017
On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. Zbl 1125.35032
Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L.
2005
On the multi-frequency obstacle reconstruction via the linear sampling method. Zbl 1215.65170
Guzina, Bojan B.; Cakoni, Fioralba; Bellis, Cédric
2010
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2012
The identification of thin dielectric objects from far field or near field scattering data. Zbl 1173.35741
Zeev, Noam; Cakoni, Fioralba
2009
Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222
Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer
2014
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
2003
Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2009
Editorial: Transmission eigenvalues. Zbl 1298.00112
2013
Topological optimality condition for the identification of the center of an inhomogeneity. Zbl 1390.74157
Cakoni, Fioralba; Kovtunenko, Victor A.
2018
Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328
Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter
2016
Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem. Zbl 1334.35421
Cakoni, Fioralba; Haddar, Houssem; Harris, Isaac
2015
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
2003
Transmission eigenvalues for inhomogeneous media containing obstacles. Zbl 1253.35214
Cakoni, Fioralba; Cossonnière, Anne; Haddar, Houssem
2012
On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164
Cakoni, Fioralba; Xiao, Jingni
2021
Boundary integral equations for the transmission eigenvalue problem for Maxwell’s equations. Zbl 1332.35247
Cakoni, Fioralba; Haddar, Houssem; Meng, Shixu
2015
New results on transmission eigenvalues. Zbl 1189.35371
Cakoni, Fioralba; Gintides, Drossos
2010
The factorization method for a defective region in an anisotropic material. Zbl 1327.78016
Cakoni, Fioralba; Harris, Isaac
2015
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
2010
On the factorization method for a far field inverse scattering problem in the time domain. Zbl 1416.35097
Cakoni, Fioralba; Haddar, Houssem; Lechleiter, Armin
2019
Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities. Zbl 1284.35117
Cakoni, Fioralba; Moskow, Shari
2013
On the homogenization of a scalar scattering problem for highly oscillating anisotropic media. Zbl 1343.35245
Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari
2016
Direct imaging of small scatterers using reduced time dependent data. Zbl 1415.65046
Cakoni, Fioralba; Rezac, Jacob D.
2017
Boundary integral method for thermoelastic screen scattering problem in $$\mathbb{R}^3$$. Zbl 0970.74033
Cakoni, Fioralba
2000
The Atkinson-Wilcox theorem in thermoelasticity. Zbl 1025.74016
Cakoni, Fioralba; Dassios, George
1999
The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions. Zbl 1334.35422
Cakoni, Fioralba; Moskow, Shari; Rome, Scott
2015
The inverse electromagnetic scattering problem for screens. Zbl 1142.78310
Cakoni, Fioralba; Colton, David; Darrigrand, Eric
2003
A multistep reciprocity gap functional method for the inverse problem in a multilayered medium. Zbl 1234.35308
Cakoni, Fioralba; Di Cristo, Michele; Sun, Jiguang
2012
The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
On the asymptotics of a Robin eigenvalue problem. Zbl 1291.35141
Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Housem
2013
On the discreteness of transmission eigenvalues for the Maxwell equations. Zbl 1458.35401
Cakoni, Fioralba; Nguyen, Hoai-Minh
2021
Analysis of topological derivative as a tool for qualitative identification. Zbl 1447.35374
Bonnet, Marc; Cakoni, Fioralba
2019
Inequalities in inverse scattering theory. Zbl 1387.35614
Cakoni, F.; Colton, D.
2007
Domain sensitivity analysis of the acoustic far-field pattern. Zbl 1007.35102
Bochniak, Marius; Cakoni, Fioralba
2002
A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Zbl 1384.35144
Cakoni, F.; Yaman, O. Ivanyshyn; Kress, R.; Le Louër, F.
2018
Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media. Zbl 1330.35423
Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Houssem
2015
The inverse electromagnetic scattering problem for a mixed boundary value problem for screens. Zbl 1107.78007
Cakoni, Fioralba; Darrigrand, Eric
2005
Recent developments in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1222.78023
Cakoni, Fioralba
2007
The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016
Cakoni, Fioralba; Monk, Peter
2010
Identification of partially coated anisotropic buried objects using electromagnetic Cauchy data. Zbl 1134.78008
2007
The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Zbl 1188.35198
Cakoni, Fioralba; Nakamura, Gen; Sini, Mourad; Zeev, Noam
2010
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
2021
The imaging of small perturbations in an anisotropic media. Zbl 1395.35209
Cakoni, Fioralba; Harris, Isaac; Moskow, Shari
2017
New interior transmission problem applied to a single Floquet-Bloch mode imaging of local perturbations in periodic media. Zbl 1406.78009
Cakoni, Fioralba; Haddar, Houssem; Nguyen, Thi-Phong
2019
Mathematical model of the interaction problem between electromagnetic field and elastic body. Zbl 1053.74524
Cakoni, F.; Hsiao, G. C.
2002
The coated thermoelastic body within a low-frequency elastodynamic field. Zbl 1210.74052
Cakoni, Fioralba; Dassios, George
1998
Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048
Cakoni, Fioralba; de Teresa, Irene; Monk, Peter
2018
A direct approach to imaging in a waveguide with perturbed geometry. Zbl 1452.65309
Borcea, Liliana; Cakoni, Fioralba; Meng, Shixu
2019
The Born transmission eigenvalue problem. Zbl 1366.78018
Cakoni, Fioralba; Colton, David; Rezac, Jacob D.
2016
Domain sensitivity analysis for acoustic scattering problems. Zbl 0990.76079
Bochniak, Marius; Cakoni, Fioralba
2000
Interior transmission problem for anisotropic media. Zbl 1048.78008
2003
The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008
Cakoni, Fioralba; Monk, Peter
2006
Target identification of buried coated objects. Zbl 1182.35229
Cakoni, Fioralba; Colton, David
2006
Limiting boundary correctors for periodic microstructures and inverse homogenization series. Zbl 1441.35025
Cakoni, Fioralba; Moskow, Shari; Pangburn, Tayler
2020
A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2020
The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225
Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan
2021
Scattering by a bounded highly oscillating periodic medium and the effect of boundary correctors. Zbl 1419.35238
Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari; Pangburn, Tayler
2019
Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I. Zbl 1444.11103
Cakoni, Fioralba; Chanillo, Sagun
2019
On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164
Cakoni, Fioralba; Xiao, Jingni
2021
On the discreteness of transmission eigenvalues for the Maxwell equations. Zbl 1458.35401
Cakoni, Fioralba; Nguyen, Hoai-Minh
2021
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
2021
The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225
Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan
2021
Limiting boundary correctors for periodic microstructures and inverse homogenization series. Zbl 1441.35025
Cakoni, Fioralba; Moskow, Shari; Pangburn, Tayler
2020
A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2020
On the factorization method for a far field inverse scattering problem in the time domain. Zbl 1416.35097
Cakoni, Fioralba; Haddar, Houssem; Lechleiter, Armin
2019
Analysis of topological derivative as a tool for qualitative identification. Zbl 1447.35374
Bonnet, Marc; Cakoni, Fioralba
2019
New interior transmission problem applied to a single Floquet-Bloch mode imaging of local perturbations in periodic media. Zbl 1406.78009
Cakoni, Fioralba; Haddar, Houssem; Nguyen, Thi-Phong
2019
A direct approach to imaging in a waveguide with perturbed geometry. Zbl 1452.65309
Borcea, Liliana; Cakoni, Fioralba; Meng, Shixu
2019
Scattering by a bounded highly oscillating periodic medium and the effect of boundary correctors. Zbl 1419.35238
Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari; Pangburn, Tayler
2019
Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I. Zbl 1444.11103
Cakoni, Fioralba; Chanillo, Sagun
2019
Topological optimality condition for the identification of the center of an inhomogeneity. Zbl 1390.74157
Cakoni, Fioralba; Kovtunenko, Victor A.
2018
A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Zbl 1384.35144
Cakoni, F.; Yaman, O. Ivanyshyn; Kress, R.; Le Louër, F.
2018
Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048
Cakoni, Fioralba; de Teresa, Irene; Monk, Peter
2018
New sets of eigenvalues in inverse scattering for inhomogeneous media and their determination from scattering data. Zbl 1422.65355
Audibert, Lorenzo; Cakoni, Fioralba; Haddar, Houssem
2017
A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225
Cakoni, Fioralba; Kress, Rainer
2017
Direct imaging of small scatterers using reduced time dependent data. Zbl 1415.65046
Cakoni, Fioralba; Rezac, Jacob D.
2017
The imaging of small perturbations in an anisotropic media. Zbl 1395.35209
Cakoni, Fioralba; Harris, Isaac; Moskow, Shari
2017
Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2016
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
2016
Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328
Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter
2016
On the homogenization of a scalar scattering problem for highly oscillating anisotropic media. Zbl 1343.35245
Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari
2016
The Born transmission eigenvalue problem. Zbl 1366.78018
Cakoni, Fioralba; Colton, David; Rezac, Jacob D.
2016
Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem. Zbl 1334.35421
Cakoni, Fioralba; Haddar, Houssem; Harris, Isaac
2015
Boundary integral equations for the transmission eigenvalue problem for Maxwell’s equations. Zbl 1332.35247
Cakoni, Fioralba; Haddar, Houssem; Meng, Shixu
2015
The factorization method for a defective region in an anisotropic material. Zbl 1327.78016
Cakoni, Fioralba; Harris, Isaac
2015
The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions. Zbl 1334.35422
Cakoni, Fioralba; Moskow, Shari; Rome, Scott
2015
Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media. Zbl 1330.35423
Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Houssem
2015
A qualitative approach to inverse scattering theory. Zbl 1302.35001
Cakoni, Fioralba; Colton, David
2014
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
2014
The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524
Cakoni, Fioralba; Colton, David; Meng, Shixu
2014
The factorization method for a cavity in an inhomogeneous medium. Zbl 1287.35102
Meng, Shixu; Haddar, Houssem; Cakoni, Fioralba
2014
Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Zbl 1308.78012
Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang
2014
The inverse scattering problem for a partially coated cavity with interior measurements. Zbl 1288.35489
Hu, Yuqing; Cakoni, Fioralba; Liu, Jijun
2014
Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222
Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer
2014
Transmission eigenvalues in inverse scattering theory. Zbl 1316.35297
2013
Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146
Cakoni, Fioralba; Kress, Rainer
2013
Acoustic inverse scattering using topological derivative of far-field measurements-based $$L^2$$ cost functionals. Zbl 1282.65138
Bellis, Cédric; Bonnet, Marc; Cakoni, Fioralba
2013
Nature of the transmission eigenvalue spectrum for elastic bodies. Zbl 1280.35146
Bellis, Cédric; Cakoni, Fioralba; Guzina, Bojan B.
2013
Editorial: Transmission eigenvalues. Zbl 1298.00112
2013
Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities. Zbl 1284.35117
Cakoni, Fioralba; Moskow, Shari
2013
On the asymptotics of a Robin eigenvalue problem. Zbl 1291.35141
Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Housem
2013
The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2012
Transmission eigenvalues for inhomogeneous media containing obstacles. Zbl 1253.35214
Cakoni, Fioralba; Cossonnière, Anne; Haddar, Houssem
2012
A multistep reciprocity gap functional method for the inverse problem in a multilayered medium. Zbl 1234.35308
Cakoni, Fioralba; Di Cristo, Michele; Sun, Jiguang
2012
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
2011
An inverse electromagnetic scattering problem for a cavity. Zbl 1237.78019
Zeng, Fang; Cakoni, Fioralba; Sun, Jiguang
2011
Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem. Zbl 1222.65151
Qin, Hai-Hua; Cakoni, Fioralba
2011
The existence of an infinite discrete set of transmission eigenvalues. Zbl 1210.35282
Cakoni, Fioralba; Gintides, Drossos; Haddar, Houssem
2010
On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
2010
The interior transmission eigenvalue problem. Zbl 1219.35352
Cakoni, Fioralba; Colton, David; Gintides, Drossos
2010
The interior transmission problem for regions with cavities. Zbl 1209.35135
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2010
On the interior transmission eigenvalue problem. Zbl 1204.78008
Cakoni, Fioralba; Kirsch, Andreas
2010
Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
On the multi-frequency obstacle reconstruction via the linear sampling method. Zbl 1215.65170
Guzina, Bojan B.; Cakoni, Fioralba; Bellis, Cédric
2010
Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071
Cakoni, Fioralba; Kress, Rainer; Schuft, Christian
2010
New results on transmission eigenvalues. Zbl 1189.35371
Cakoni, Fioralba; Gintides, Drossos
2010
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
2010
The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016
Cakoni, Fioralba; Monk, Peter
2010
The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Zbl 1188.35198
Cakoni, Fioralba; Nakamura, Gen; Sini, Mourad; Zeev, Noam
2010
On the existence of transmission eigenvalues in an inhomogeneous medium. Zbl 1168.35448
2009
The identification of thin dielectric objects from far field or near field scattering data. Zbl 1173.35741
Zeev, Noam; Cakoni, Fioralba
2009
The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2009
Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497
Cakoni, Fioralba; Çayören, Mehmet; Colton, David
2008
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150
Cakoni, Fioralba; Kress, Rainer
2007
A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078
2007
The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
Inequalities in inverse scattering theory. Zbl 1387.35614
Cakoni, F.; Colton, D.
2007
Recent developments in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1222.78023
Cakoni, Fioralba
2007
Identification of partially coated anisotropic buried objects using electromagnetic Cauchy data. Zbl 1134.78008
2007
Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008
Cakoni, Fioralba; Colton, David
2006
Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects. Zbl 1099.35167
Cakoni, Fioralba; Fares, M&rsquo;barek; Haddar, Houssem
2006
The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008
Cakoni, Fioralba; Monk, Peter
2006
Target identification of buried coated objects. Zbl 1182.35229
Cakoni, Fioralba; Colton, David
2006
Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003
Cakoni, F.; Colton, D.
2005
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
2005
On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. Zbl 1125.35032
Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L.
2005
The inverse electromagnetic scattering problem for a mixed boundary value problem for screens. Zbl 1107.78007
Cakoni, Fioralba; Darrigrand, Eric
2005
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
2004
The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163
Cakoni, Fioralba; Colton, David
2004
The linear sampling method for cracks. Zbl 1171.35487
Cakoni, Fioralba; Colton, David
2003
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013
Cakoni, Fioralba; Colton, David
2003
On the mathematical basis of the linear sampling method. Zbl 1054.35123
Cakoni, Fioralba; Colton, David
2003
Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091
Cakoni, Fioralba; Colton, David
2003
The inverse electromagnetic scattering problem for screens. Zbl 1142.78310
Cakoni, Fioralba; Colton, David; Darrigrand, Eric
2003
Interior transmission problem for anisotropic media. Zbl 1048.78008
2003
The linear sampling method for anisotropic media. Zbl 1019.78003
Cakoni, Fioralba; Colton, David; Haddar, Houssem
2002
Domain sensitivity analysis of the acoustic far-field pattern. Zbl 1007.35102
Bochniak, Marius; Cakoni, Fioralba
2002
Mathematical model of the interaction problem between electromagnetic field and elastic body. Zbl 1053.74524
Cakoni, F.; Hsiao, G. C.
2002
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
2001
Boundary integral method for thermoelastic screen scattering problem in $$\mathbb{R}^3$$. Zbl 0970.74033
Cakoni, Fioralba
2000
Domain sensitivity analysis for acoustic scattering problems. Zbl 0990.76079
Bochniak, Marius; Cakoni, Fioralba
2000
The Atkinson-Wilcox theorem in thermoelasticity. Zbl 1025.74016
Cakoni, Fioralba; Dassios, George
1999
The coated thermoelastic body within a low-frequency elastodynamic field. Zbl 1210.74052
Cakoni, Fioralba; Dassios, George
1998
all top 5

### Cited by 624 Authors

 42 Cakoni, Fioralba 30 Haddar, Houssem 27 Yan, Guozheng 23 Liu, Hongyu 20 Colton, David Lem 20 Sun, Jiguang 18 Yang, Yidu 16 Guo, Jun 15 Bi, Hai 15 Monk, Peter B. 13 Hu, Guanghui 13 Kleefeld, Andreas 13 Kress, Rainer 13 Zhang, Bo 12 Han, Jiayu 12 Harris, Isaac 12 Ji, Xia 12 Yang, Chuanfu 12 Yang, Jiaqing 11 Guzina, Bojan B. 11 Li, Jingzhi 11 Liu, Xiaodong 11 Ma, Fuming 11 Rapún, María-Luisa 11 Wang, Haibing 10 Meng, Shixu 10 Nguyen, Dinh Liem 9 Liu, Jijun 9 Moskow, Shari 9 Qu, Fenglong 8 Alekseev, Gennady V. 8 Chapko, Roman 8 Guo, Yukun 8 Klibanov, Michael V. 8 Le Louër, Frédérique 7 Athanasiadis, Christodoulos E. 7 Bonnet, Marc 7 Chen, Lung-Hui 7 Johansson, B. Tomas 7 Nakamura, Gen 7 Park, Won-Kwang 7 Xu, Xiaochuan 7 Zeng, Fang 7 Zhang, Yu 6 An, Jing 6 Audibert, Lorenzo 6 Buterin, Sergey Alexandrovich 6 Chesnel, Lucas 6 Cogar, Samuel 6 Lechleiter, Armin 6 Qin, Haihua 6 Xu, Liwei 6 Zhang, Deyue 6 Zhang, Haiwen 6 Zhang, Zhimin 6 Zou, Jun 5 Bourgeois, Laurent 5 Carpio, Ana 5 Deng, Youjun 5 Diao, Huaian 5 Fang, Weifu 5 Ivanyshyn, Olha 5 Kovtunenko, Viktor Anatolievich 5 Mindrinos, Leonidas 5 Pourahmadian, Fatemeh 5 Xi, Yingxia 5 Xiao, Jingni 4 Barucq, Hélène 4 Bellis, Cédric 4 Blåsten, Eemeli 4 Borcea, Liliana 4 Gintides, Drossos 4 Griesmaier, Roland 4 Lee, Kuo-Ming 4 Leem, Koung Hee 4 Lesnic, Daniel 4 Li, Hao 4 Li, Jianliang 4 Li, Peijun 4 Li, Tiexiang 4 Lin, Wen-Wei 4 Liu, Keji 4 Nguyen, Hoai-Minh 4 Nguyen, Loc Hoang 4 Nguyen, Thi-Phong 4 Pelekanos, George 4 Pham, Ha Thanh 4 Pieronek, Lukas 4 Recoquillay, Arnaud 4 Selgas, Virginia 4 Sevroglou, Vassilios 4 Sincich, Eva 4 Thành, Nguyen Trung 4 Vesalainen, Esa V. 4 Wang, Jenn-Nan 4 Wang, Xianchao 4 Wang, Yuliang 4 Wu, Qinghua 4 Yao, Mao 4 Ye, Jianguo ...and 524 more Authors
all top 5

### Cited in 128 Serials

 66 Inverse Problems 42 Applicable Analysis 41 Inverse Problems and Imaging 33 Journal of Computational Physics 21 SIAM Journal on Applied Mathematics 19 SIAM Journal on Mathematical Analysis 18 Mathematical Methods in the Applied Sciences 18 Journal of Inverse and Ill-Posed Problems 18 Inverse Problems in Science and Engineering 16 Journal of Computational and Applied Mathematics 16 Journal of Scientific Computing 15 Computers & Mathematics with Applications 15 Journal of Integral Equations and Applications 13 SIAM Journal on Imaging Sciences 13 Research in the Mathematical Sciences 12 Journal of Differential Equations 11 Applied Numerical Mathematics 10 Journal of Mathematical Analysis and Applications 9 Journal of Mathematical Physics 9 Wave Motion 9 Applied Mathematics and Computation 9 SIAM Journal on Scientific Computing 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Advances in Computational Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 East Asian Journal on Applied Mathematics 5 Communications in Computational Physics 5 Science China. Mathematics 4 Mathematics and Computers in Simulation 4 Communications in Partial Differential Equations 4 Journal of Elasticity 4 Engineering Analysis with Boundary Elements 4 Mathematical Problems in Engineering 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Calcolo 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applied Mathematics Letters 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 Computational and Applied Mathematics 3 Differential Equations 3 Mathematical Modelling and Analysis 3 Boundary Value Problems 3 Complex Variables and Elliptic Equations 3 Advances in Applied Mathematics and Mechanics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Electronic Research Archive 3 SN Partial Differential Equations and Applications 2 Communications in Mathematical Physics 2 Indian Journal of Pure & Applied Mathematics 2 Reports on Mathematical Physics 2 Journal of Functional Analysis 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Transactions of the American Mathematical Society 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal of Mathematical Imaging and Vision 2 Abstract and Applied Analysis 2 Computational Methods in Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Multiscale Modeling & Simulation 2 Advances in Mathematical Physics 2 Results in Applied Mathematics 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Journal of Fluid Mechanics 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Linear Algebra and its Applications 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 Numerical Linear Algebra with Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Doklady Mathematics 1 Mathematics and Mechanics of Solids 1 Honam Mathematical Journal ...and 28 more Serials
all top 5

### Cited in 34 Fields

 512 Partial differential equations (35-XX) 282 Numerical analysis (65-XX) 250 Optics, electromagnetic theory (78-XX) 75 Mechanics of deformable solids (74-XX) 45 Fluid mechanics (76-XX) 40 Integral equations (45-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 30 Ordinary differential equations (34-XX) 29 Operator theory (47-XX) 24 Potential theory (31-XX) 15 Statistics (62-XX) 15 Information and communication theory, circuits (94-XX) 14 Quantum theory (81-XX) 13 Global analysis, analysis on manifolds (58-XX) 5 Special functions (33-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Geophysics (86-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX)