Edit Profile (opens in new tab) Cakoni, Fioralba Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1099.78008Cakoni, Fioralba; Colton, David 127 2006 The existence of an infinite discrete set of transmission eigenvalues. Zbl 1210.35282Cakoni, Fioralba; Gintides, Drossos; Haddar, Houssem 108 2010 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001Cakoni, Fioralba; Colton, David; Haddar, Houssem 73 2016 A qualitative approach to inverse scattering theory. Zbl 1302.35001Cakoni, Fioralba; Colton, David 71 2014 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 60 2011 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204Cakoni, Fioralba; Colton, David; Haddar, Houssem 55 2010 The linear sampling method for cracks. Zbl 1171.35487Cakoni, Fioralba; Colton, David 53 2003 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 47 2010 Transmission eigenvalues in inverse scattering theory. Zbl 1316.35297Cakoni, Fioralba; Haddar, Houssem 47 2013 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 37 2016 On the existence of transmission eigenvalues in an inhomogeneous medium. Zbl 1168.35448Cakoni, Fioralba; Haddar, Houssem 37 2009 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008Cakoni, Fioralba; Colton, David; Monk, Peter 36 2007 Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150Cakoni, Fioralba; Kress, Rainer 35 2007 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, Fioralba; Colton, David; Monk, Peter 34 2001 Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239Cakoni, Fioralba; Monk, Peter; Sun, Jiguang 32 2014 The interior transmission eigenvalue problem. Zbl 1219.35352Cakoni, Fioralba; Colton, David; Gintides, Drossos 30 2010 Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497Cakoni, Fioralba; Çayören, Mehmet; Colton, David 27 2008 A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078Cakoni, Fioralba; Haddar, Houssem 26 2007 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 25 2005 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163Cakoni, Fioralba; Colton, David 24 2004 The interior transmission problem for regions with cavities. Zbl 1209.35135Cakoni, Fioralba; Colton, David; Haddar, Houssem 23 2010 An inverse electromagnetic scattering problem for a cavity. Zbl 1237.78019Zeng, Fang; Cakoni, Fioralba; Sun, Jiguang 22 2011 Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem. Zbl 1222.65151Qin, Hai-Hua; Cakoni, Fioralba 22 2011 The linear sampling method for anisotropic media. Zbl 1019.78003Cakoni, Fioralba; Colton, David; Haddar, Houssem 20 2002 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524Cakoni, Fioralba; Colton, David; Meng, Shixu 19 2014 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013Cakoni, Fioralba; Colton, David 19 2003 The factorization method for a cavity in an inhomogeneous medium. Zbl 1287.35102Meng, Shixu; Haddar, Houssem; Cakoni, Fioralba 19 2014 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects. Zbl 1099.35167Cakoni, Fioralba; Fares, M’barek; Haddar, Houssem 18 2006 Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146Cakoni, Fioralba; Kress, Rainer 17 2013 Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Zbl 1308.78012Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang 17 2014 New sets of eigenvalues in inverse scattering for inhomogeneous media and their determination from scattering data. Zbl 1422.65355Audibert, Lorenzo; Cakoni, Fioralba; Haddar, Houssem 16 2017 Acoustic inverse scattering using topological derivative of far-field measurements-based \(L^2\) cost functionals. Zbl 1282.65138Bellis, Cédric; Bonnet, Marc; Cakoni, Fioralba 16 2013 The inverse scattering problem for a partially coated cavity with interior measurements. Zbl 1288.35489Hu, Yuqing; Cakoni, Fioralba; Liu, Jijun 16 2014 On the interior transmission eigenvalue problem. Zbl 1204.78008Cakoni, Fioralba; Kirsch, Andreas 14 2010 Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 14 2010 Nature of the transmission eigenvalue spectrum for elastic bodies. Zbl 1280.35146Bellis, Cédric; Cakoni, Fioralba; Guzina, Bojan B. 14 2013 A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225Cakoni, Fioralba; Kress, Rainer 13 2017 On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. Zbl 1125.35032Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L. 11 2005 On the multi-frequency obstacle reconstruction via the linear sampling method. Zbl 1215.65170Guzina, Bojan B.; Cakoni, Fioralba; Bellis, Cédric 11 2010 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019Cakoni, Fioralba; Colton, David; Haddar, Houssem 11 2012 The identification of thin dielectric objects from far field or near field scattering data. Zbl 1173.35741Zeev, Noam; Cakoni, Fioralba 11 2009 Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer 10 2014 On the mathematical basis of the linear sampling method. Zbl 1054.35123Cakoni, Fioralba; Colton, David 9 2003 Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 9 2010 The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722Cakoni, Fioralba; Colton, David; Haddar, Houssem 9 2009 Editorial: Transmission eigenvalues. Zbl 1298.00112 9 2013 Topological optimality condition for the identification of the center of an inhomogeneity. Zbl 1390.74157Cakoni, Fioralba; Kovtunenko, Victor A. 8 2018 Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter 8 2016 Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem. Zbl 1334.35421Cakoni, Fioralba; Haddar, Houssem; Harris, Isaac 8 2015 Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091Cakoni, Fioralba; Colton, David 8 2003 Transmission eigenvalues for inhomogeneous media containing obstacles. Zbl 1253.35214Cakoni, Fioralba; Cossonnière, Anne; Haddar, Houssem 8 2012 On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164Cakoni, Fioralba; Xiao, Jingni 8 2021 Boundary integral equations for the transmission eigenvalue problem for Maxwell’s equations. Zbl 1332.35247Cakoni, Fioralba; Haddar, Houssem; Meng, Shixu 7 2015 New results on transmission eigenvalues. Zbl 1189.35371Cakoni, Fioralba; Gintides, Drossos 7 2010 The factorization method for a defective region in an anisotropic material. Zbl 1327.78016Cakoni, Fioralba; Harris, Isaac 7 2015 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, Fioralba; Colton, David; Monk, Peter 6 2010 On the factorization method for a far field inverse scattering problem in the time domain. Zbl 1416.35097Cakoni, Fioralba; Haddar, Houssem; Lechleiter, Armin 6 2019 Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities. Zbl 1284.35117Cakoni, Fioralba; Moskow, Shari 6 2013 On the homogenization of a scalar scattering problem for highly oscillating anisotropic media. Zbl 1343.35245Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari 5 2016 Direct imaging of small scatterers using reduced time dependent data. Zbl 1415.65046Cakoni, Fioralba; Rezac, Jacob D. 5 2017 Boundary integral method for thermoelastic screen scattering problem in \(\mathbb{R}^3\). Zbl 0970.74033Cakoni, Fioralba 4 2000 The Atkinson-Wilcox theorem in thermoelasticity. Zbl 1025.74016Cakoni, Fioralba; Dassios, George 4 1999 The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions. Zbl 1334.35422Cakoni, Fioralba; Moskow, Shari; Rome, Scott 4 2015 The inverse electromagnetic scattering problem for screens. Zbl 1142.78310Cakoni, Fioralba; Colton, David; Darrigrand, Eric 4 2003 A multistep reciprocity gap functional method for the inverse problem in a multilayered medium. Zbl 1234.35308Cakoni, Fioralba; Di Cristo, Michele; Sun, Jiguang 4 2012 The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024Cakoni, Fioralba; Colton, David; Monk, Peter 4 2007 On the asymptotics of a Robin eigenvalue problem. Zbl 1291.35141Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Housem 4 2013 On the discreteness of transmission eigenvalues for the Maxwell equations. Zbl 1458.35401Cakoni, Fioralba; Nguyen, Hoai-Minh 4 2021 Analysis of topological derivative as a tool for qualitative identification. Zbl 1447.35374Bonnet, Marc; Cakoni, Fioralba 4 2019 Inequalities in inverse scattering theory. Zbl 1387.35614Cakoni, F.; Colton, D. 3 2007 Domain sensitivity analysis of the acoustic far-field pattern. Zbl 1007.35102Bochniak, Marius; Cakoni, Fioralba 3 2002 A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Zbl 1384.35144Cakoni, F.; Yaman, O. Ivanyshyn; Kress, R.; Le Louër, F. 3 2018 Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media. Zbl 1330.35423Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Houssem 3 2015 The inverse electromagnetic scattering problem for a mixed boundary value problem for screens. Zbl 1107.78007Cakoni, Fioralba; Darrigrand, Eric 3 2005 Recent developments in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1222.78023Cakoni, Fioralba 3 2007 The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016Cakoni, Fioralba; Monk, Peter 3 2010 Identification of partially coated anisotropic buried objects using electromagnetic Cauchy data. Zbl 1134.78008Cakoni, Fioralba; Haddar, Houssem 3 2007 The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Zbl 1188.35198Cakoni, Fioralba; Nakamura, Gen; Sini, Mourad; Zeev, Noam 3 2010 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 3 2021 The imaging of small perturbations in an anisotropic media. Zbl 1395.35209Cakoni, Fioralba; Harris, Isaac; Moskow, Shari 2 2017 New interior transmission problem applied to a single Floquet-Bloch mode imaging of local perturbations in periodic media. Zbl 1406.78009Cakoni, Fioralba; Haddar, Houssem; Nguyen, Thi-Phong 2 2019 Mathematical model of the interaction problem between electromagnetic field and elastic body. Zbl 1053.74524Cakoni, F.; Hsiao, G. C. 2 2002 The coated thermoelastic body within a low-frequency elastodynamic field. Zbl 1210.74052Cakoni, Fioralba; Dassios, George 2 1998 Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048Cakoni, Fioralba; de Teresa, Irene; Monk, Peter 2 2018 A direct approach to imaging in a waveguide with perturbed geometry. Zbl 1452.65309Borcea, Liliana; Cakoni, Fioralba; Meng, Shixu 2 2019 The Born transmission eigenvalue problem. Zbl 1366.78018Cakoni, Fioralba; Colton, David; Rezac, Jacob D. 1 2016 Domain sensitivity analysis for acoustic scattering problems. Zbl 0990.76079Bochniak, Marius; Cakoni, Fioralba 1 2000 Interior transmission problem for anisotropic media. Zbl 1048.78008Cakoni, Fioralba; Haddar, Houssem 1 2003 The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008Cakoni, Fioralba; Monk, Peter 1 2006 Target identification of buried coated objects. Zbl 1182.35229Cakoni, Fioralba; Colton, David 1 2006 Limiting boundary correctors for periodic microstructures and inverse homogenization series. Zbl 1441.35025Cakoni, Fioralba; Moskow, Shari; Pangburn, Tayler 1 2020 A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229Cakoni, Fioralba; Colton, David; Haddar, Houssem 1 2020 The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan 1 2021 Scattering by a bounded highly oscillating periodic medium and the effect of boundary correctors. Zbl 1419.35238Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari; Pangburn, Tayler 1 2019 Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I. Zbl 1444.11103Cakoni, Fioralba; Chanillo, Sagun 1 2019 On corner scattering for operators of divergence form and applications to inverse scattering. Zbl 1469.35164Cakoni, Fioralba; Xiao, Jingni 8 2021 On the discreteness of transmission eigenvalues for the Maxwell equations. Zbl 1458.35401Cakoni, Fioralba; Nguyen, Hoai-Minh 4 2021 Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343Cakoni, Fioralba; Monk, Peter; Selgas, Virginia 3 2021 The interior transmission eigenvalue problem for elastic waves in media with obstacles. Zbl 1467.35225Cakoni, Fioralba; Kow, Pu-Zhao; Wang, Jenn-Nan 1 2021 Limiting boundary correctors for periodic microstructures and inverse homogenization series. Zbl 1441.35025Cakoni, Fioralba; Moskow, Shari; Pangburn, Tayler 1 2020 A duality between scattering poles and transmission eigenvalues in scattering theory. Zbl 1472.35229Cakoni, Fioralba; Colton, David; Haddar, Houssem 1 2020 On the factorization method for a far field inverse scattering problem in the time domain. Zbl 1416.35097Cakoni, Fioralba; Haddar, Houssem; Lechleiter, Armin 6 2019 Analysis of topological derivative as a tool for qualitative identification. Zbl 1447.35374Bonnet, Marc; Cakoni, Fioralba 4 2019 New interior transmission problem applied to a single Floquet-Bloch mode imaging of local perturbations in periodic media. Zbl 1406.78009Cakoni, Fioralba; Haddar, Houssem; Nguyen, Thi-Phong 2 2019 A direct approach to imaging in a waveguide with perturbed geometry. Zbl 1452.65309Borcea, Liliana; Cakoni, Fioralba; Meng, Shixu 2 2019 Scattering by a bounded highly oscillating periodic medium and the effect of boundary correctors. Zbl 1419.35238Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari; Pangburn, Tayler 1 2019 Transmission eigenvalues and the Riemann zeta function in scattering theory for automorphic forms on Fuchsian groups of type I. Zbl 1444.11103Cakoni, Fioralba; Chanillo, Sagun 1 2019 Topological optimality condition for the identification of the center of an inhomogeneity. Zbl 1390.74157Cakoni, Fioralba; Kovtunenko, Victor A. 8 2018 A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Zbl 1384.35144Cakoni, F.; Yaman, O. Ivanyshyn; Kress, R.; Le Louër, F. 3 2018 Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048Cakoni, Fioralba; de Teresa, Irene; Monk, Peter 2 2018 New sets of eigenvalues in inverse scattering for inhomogeneous media and their determination from scattering data. Zbl 1422.65355Audibert, Lorenzo; Cakoni, Fioralba; Haddar, Houssem 16 2017 A boundary integral equation method for the transmission eigenvalue problem. Zbl 1358.35225Cakoni, Fioralba; Kress, Rainer 13 2017 Direct imaging of small scatterers using reduced time dependent data. Zbl 1415.65046Cakoni, Fioralba; Rezac, Jacob D. 5 2017 The imaging of small perturbations in an anisotropic media. Zbl 1395.35209Cakoni, Fioralba; Harris, Isaac; Moskow, Shari 2 2017 Inverse scattering theory and transmission eigenvalues. Zbl 1366.35001Cakoni, Fioralba; Colton, David; Haddar, Houssem 73 2016 Stekloff eigenvalues in inverse scattering. Zbl 1346.35228Cakoni, F.; Colton, D.; Meng, S.; Monk, P. 37 2016 Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter 8 2016 On the homogenization of a scalar scattering problem for highly oscillating anisotropic media. Zbl 1343.35245Cakoni, Fioralba; Guzina, Bojan B.; Moskow, Shari 5 2016 The Born transmission eigenvalue problem. Zbl 1366.78018Cakoni, Fioralba; Colton, David; Rezac, Jacob D. 1 2016 Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem. Zbl 1334.35421Cakoni, Fioralba; Haddar, Houssem; Harris, Isaac 8 2015 Boundary integral equations for the transmission eigenvalue problem for Maxwell’s equations. Zbl 1332.35247Cakoni, Fioralba; Haddar, Houssem; Meng, Shixu 7 2015 The factorization method for a defective region in an anisotropic material. Zbl 1327.78016Cakoni, Fioralba; Harris, Isaac 7 2015 The perturbation of transmission eigenvalues for inhomogeneous media in the presence of small penetrable inclusions. Zbl 1334.35422Cakoni, Fioralba; Moskow, Shari; Rome, Scott 4 2015 Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media. Zbl 1330.35423Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Houssem 3 2015 A qualitative approach to inverse scattering theory. Zbl 1302.35001Cakoni, Fioralba; Colton, David 71 2014 Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239Cakoni, Fioralba; Monk, Peter; Sun, Jiguang 32 2014 The inverse scattering problem for a penetrable cavity with internal measurements. Zbl 1330.35524Cakoni, Fioralba; Colton, David; Meng, Shixu 19 2014 The factorization method for a cavity in an inhomogeneous medium. Zbl 1287.35102Meng, Shixu; Haddar, Houssem; Cakoni, Fioralba 19 2014 Transmission eigenvalues and non-destructive testing of anisotropic magnetic materials with voids. Zbl 1308.78012Harris, Isaac; Cakoni, Fioralba; Sun, Jiguang 17 2014 The inverse scattering problem for a partially coated cavity with interior measurements. Zbl 1288.35489Hu, Yuqing; Cakoni, Fioralba; Liu, Jijun 16 2014 Simultaneous reconstruction of shape and generalized impedance functions in electrostatic imaging. Zbl 1305.65222Cakoni, Fioralba; Hu, Yuqing; Kress, Rainer 10 2014 Transmission eigenvalues in inverse scattering theory. Zbl 1316.35297Cakoni, Fioralba; Haddar, Houssem 47 2013 Integral equation methods for the inverse obstacle problem with generalized impedance boundary condition. Zbl 1302.65146Cakoni, Fioralba; Kress, Rainer 17 2013 Acoustic inverse scattering using topological derivative of far-field measurements-based \(L^2\) cost functionals. Zbl 1282.65138Bellis, Cédric; Bonnet, Marc; Cakoni, Fioralba 16 2013 Nature of the transmission eigenvalue spectrum for elastic bodies. Zbl 1280.35146Bellis, Cédric; Cakoni, Fioralba; Guzina, Bojan B. 14 2013 Editorial: Transmission eigenvalues. Zbl 1298.00112 9 2013 Asymptotic expansions for transmission eigenvalues for media with small inhomogeneities. Zbl 1284.35117Cakoni, Fioralba; Moskow, Shari 6 2013 On the asymptotics of a Robin eigenvalue problem. Zbl 1291.35141Cakoni, Fioralba; Chaulet, Nicolas; Haddar, Housem 4 2013 The interior transmission eigenvalue problem for absorbing media. Zbl 1298.78019Cakoni, Fioralba; Colton, David; Haddar, Houssem 11 2012 Transmission eigenvalues for inhomogeneous media containing obstacles. Zbl 1253.35214Cakoni, Fioralba; Cossonnière, Anne; Haddar, Houssem 8 2012 A multistep reciprocity gap functional method for the inverse problem in a multilayered medium. Zbl 1234.35308Cakoni, Fioralba; Di Cristo, Michele; Sun, Jiguang 4 2012 The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001Cakoni, Fioralba; Colton, David; Monk, Peter 60 2011 An inverse electromagnetic scattering problem for a cavity. Zbl 1237.78019Zeng, Fang; Cakoni, Fioralba; Sun, Jiguang 22 2011 Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem. Zbl 1222.65151Qin, Hai-Hua; Cakoni, Fioralba 22 2011 The existence of an infinite discrete set of transmission eigenvalues. Zbl 1210.35282Cakoni, Fioralba; Gintides, Drossos; Haddar, Houssem 108 2010 On the determination of Dirichlet or transmission eigenvalues from far field data. Zbl 1189.35204Cakoni, Fioralba; Colton, David; Haddar, Houssem 55 2010 The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang 47 2010 The interior transmission eigenvalue problem. Zbl 1219.35352Cakoni, Fioralba; Colton, David; Gintides, Drossos 30 2010 The interior transmission problem for regions with cavities. Zbl 1209.35135Cakoni, Fioralba; Colton, David; Haddar, Houssem 23 2010 On the interior transmission eigenvalue problem. Zbl 1204.78008Cakoni, Fioralba; Kirsch, Andreas 14 2010 Integral equations for shape and impedance reconstruction in corrosion detection. Zbl 1198.35289Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 14 2010 On the multi-frequency obstacle reconstruction via the linear sampling method. Zbl 1215.65170Guzina, Bojan B.; Cakoni, Fioralba; Bellis, Cédric 11 2010 Simultaneous reconstruction of shape and impedance in corrosion detection. Zbl 1219.35071Cakoni, Fioralba; Kress, Rainer; Schuft, Christian 9 2010 New results on transmission eigenvalues. Zbl 1189.35371Cakoni, Fioralba; Gintides, Drossos 7 2010 The determination of boundary coefficients from far field measurements. Zbl 1204.78013Cakoni, Fioralba; Colton, David; Monk, Peter 6 2010 The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016Cakoni, Fioralba; Monk, Peter 3 2010 The identification of a penetrable obstacle with mixed transmission conditions from far field measurements. Zbl 1188.35198Cakoni, Fioralba; Nakamura, Gen; Sini, Mourad; Zeev, Noam 3 2010 On the existence of transmission eigenvalues in an inhomogeneous medium. Zbl 1168.35448Cakoni, Fioralba; Haddar, Houssem 37 2009 The identification of thin dielectric objects from far field or near field scattering data. Zbl 1173.35741Zeev, Noam; Cakoni, Fioralba 11 2009 The computation of lower bounds for the norm of the index of refraction in an anisotropic media from far field data. Zbl 1173.35722Cakoni, Fioralba; Colton, David; Haddar, Houssem 9 2009 Transmission eigenvalues and the nondestructive testing of dielectrics. Zbl 1157.35497Cakoni, Fioralba; Çayören, Mehmet; Colton, David 27 2008 On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008Cakoni, Fioralba; Colton, David; Monk, Peter 36 2007 Integral equations for inverse problems in corrosion detection from partial Cauchy data. Zbl 1122.35150Cakoni, Fioralba; Kress, Rainer 35 2007 A variational approach for the solution of the electromagnetic interior transmission problem for anisotropic media. Zbl 1149.35078Cakoni, Fioralba; Haddar, Houssem 26 2007 The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024Cakoni, Fioralba; Colton, David; Monk, Peter 4 2007 Inequalities in inverse scattering theory. Zbl 1387.35614Cakoni, F.; Colton, D. 3 2007 Recent developments in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1222.78023Cakoni, Fioralba 3 2007 Identification of partially coated anisotropic buried objects using electromagnetic Cauchy data. Zbl 1134.78008Cakoni, Fioralba; Haddar, Houssem 3 2007 Qualitative methods in inverse scattering theory. An introduction. Zbl 1099.78008Cakoni, Fioralba; Colton, David 127 2006 Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects. Zbl 1099.35167Cakoni, Fioralba; Fares, M’barek; Haddar, Houssem 18 2006 The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008Cakoni, Fioralba; Monk, Peter 1 2006 Target identification of buried coated objects. Zbl 1182.35229Cakoni, Fioralba; Colton, David 1 2006 Open problems in the qualitative approach to inverse electromagnetic scattering theory. Zbl 1088.78003Cakoni, F.; Colton, D. 25 2005 The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007Cakoni, Fioralba; Colton, David; Monk, Peter 18 2005 On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. Zbl 1125.35032Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L. 11 2005 The inverse electromagnetic scattering problem for a mixed boundary value problem for screens. Zbl 1107.78007Cakoni, Fioralba; Darrigrand, Eric 3 2005 The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021Cakoni, Fioralba; Colton, David; Monk, Peter 25 2004 The determination of the surface impedance of a partially coated obstacle from far field data. Zbl 1059.35163Cakoni, Fioralba; Colton, David 24 2004 The linear sampling method for cracks. Zbl 1171.35487Cakoni, Fioralba; Colton, David 53 2003 A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. Zbl 1051.78013Cakoni, Fioralba; Colton, David 19 2003 On the mathematical basis of the linear sampling method. Zbl 1054.35123Cakoni, Fioralba; Colton, David 9 2003 Combined far-field operators in electromagnetic inverse scattering theory. Zbl 1069.35091Cakoni, Fioralba; Colton, David 8 2003 The inverse electromagnetic scattering problem for screens. Zbl 1142.78310Cakoni, Fioralba; Colton, David; Darrigrand, Eric 4 2003 Interior transmission problem for anisotropic media. Zbl 1048.78008Cakoni, Fioralba; Haddar, Houssem 1 2003 The linear sampling method for anisotropic media. Zbl 1019.78003Cakoni, Fioralba; Colton, David; Haddar, Houssem 20 2002 Domain sensitivity analysis of the acoustic far-field pattern. Zbl 1007.35102Bochniak, Marius; Cakoni, Fioralba 3 2002 Mathematical model of the interaction problem between electromagnetic field and elastic body. Zbl 1053.74524Cakoni, F.; Hsiao, G. C. 2 2002 The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122Cakoni, Fioralba; Colton, David; Monk, Peter 34 2001 Boundary integral method for thermoelastic screen scattering problem in \(\mathbb{R}^3\). Zbl 0970.74033Cakoni, Fioralba 4 2000 Domain sensitivity analysis for acoustic scattering problems. Zbl 0990.76079Bochniak, Marius; Cakoni, Fioralba 1 2000 The Atkinson-Wilcox theorem in thermoelasticity. Zbl 1025.74016Cakoni, Fioralba; Dassios, George 4 1999 The coated thermoelastic body within a low-frequency elastodynamic field. Zbl 1210.74052Cakoni, Fioralba; Dassios, George 2 1998 all cited Publications top 5 cited Publications 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) Citations by Year