(Homepage)

Fioralba Cakoni          

Books

Refereed Research Papers    Web of Sciences              MathSciNet

  1.  (with George Dassios) `The coated thermoelastic body within a low-frequency elastodynamic field', Int. J. Ingng. Sci., 36, 1815-1838, (1998).
  2. (with George Dassios) `The Atkinson-Wilcox theorem in thermoelasticity', Quart. Appl. Math., Vol. LVII, N.4, 711-795 (1999).
  3. `Boundary integral method for thermoelastic screen scattering problem in R^3', , Math. Meth. Appl. Sci., 23, 441-466 (2000).
  4. (with David Colton and Peter Monk) `The direct and inverse scattering problems for partially coated obstacles', Inverse Problems, 17, 1997-2015, (2001).
  5. (with Marius Bochniak) `Domain sensitivity analysis of the acoustic far-field pattern , Math. Meth. Appl. Sci., 25, 595-613 (2002).
  6. (with David Colton and Houssem Haddar) `The linear sampling method for anisotropic media' ,  J.Comput. Appl. Math., 146, 285-299 (2002).
  7. (with Marius Bochniak)`Domain sensitivity analysis of the elastic far-field patterns in scattering from nonsmooth obstacles' , J. Math. Anal. Appl. Vol.  272,  No.1, 318-334 (2002).
  8. (with David Colton) 'The linear sampling method for cracks',  Inverse Problems, 19, 279-295 (2003). 
  9. (with David Colton) `Combined far field operators in electromagnetic inverse scattering theory' , Math. Meth. Appl. Sci., 26, No. 5, 413-429 (2003).
  10. (with David Colton) `On the mathematical basis of the linear sampling method' , Georgian Mathematical Journal, Kupradze's special issue, 10, No 3, 411-425 (2003) .
  11. (with David Colton)‘A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media’ Proc. Edinburgh Math. Soc. 46, 293-314 (2003).
  12. (with David Colton and Eric Darrigrand ) ‘The inverse electromagnetic scattering problem for screens’, Inverse Problems, 19, 627-642 (2003). 
  13. (with David Colton) ' The determination of the surface impedance of a partially coated obstacle from far field data' SIAM  J. Appl.  Math. 64, 709-723 (2004).
  14. (with David Colton) ' A target signature for distinguishing perfect conductors from anisotropic media of finite conductivity', Math. Comp. Sim. 66/4-5, 325-335 (2004).
  15. (with David Colton and Peter Monk)  ‘The electromganetic inverse scattering problem for partially coated Lipschitz Domains' Proc. Royal Society of Edinburgh 134A, 661-682 (2004).
  16. (with Eric Darrigrand) ' The inverse electromagnetic scattering problem for a mixed boundary value problem for screens' J.Comput. Appl. Math., 174, 251-269 (2005). 
  17. (with David Colton and Peter Monk) 'The determination of the surface conductivity of a partially coated dielectric' SIAM J. Appl. Math. 65, 767-789 (2005).
  18. (with David Colton) 'Open problems in  the qualitative approach to inverse electromagnetic scattering theory' European Jour. Appl. Math.  16, 411-425 (2005).
  19. (with George Hsiao and Wolfgang Wendland) ' On the boundary integral equations method for a mixed boundary value problem of the biharmonic equation' Complex Var. Theory Appl. 50, 681-696 (2005) .
  20. (with M'Barek Fares and Houssem Haddar) 'Analysis of tow linear sampling methods applied to electromagnetic imagining of buried objects' Inverse Problems 22, 845-867 (2006).
  21. (with David Colton)  'Target identification of buried coated objects'  Computational and Applied Mathematics 25, No 2-3, 269-288 (2006).
  22. (with David Colton and P. Monk) 'On the use of transmission eigenvalues to estimate the index of refraction from far field data' Inverse Problems, 23 507-522 (2007).
  23. (with Rainer Kress) 'Integral equations for inverse problems in corrosion detection from partial Cauchy data' Inverse Problems and Imaging, 1, No 2,  229 - 245 (2007).
  24. 'Recent developments in the qualitative approach to electromagnetic scattering theory'  J. Comput. Appl. Math., 204, 242 -255 (2007).
  25. (with David Colton and Peter Monk)'The inverse electromagnetic scattering problem for a partially coated dielectric' J. Comput. Appl. Math. 204, 256 -267 (2007).
  26. (with Houssem Haddar) 'A variational approach for the solution of electromagnetic interior transmission problem for anisotropic media' Inverse Problems and Imaging, 1, No 3, 443-456 (2007).
  27. (with Houssem Haddar) 'Identification of partially coated anisotropic  buried objects using electromagnetic Cauchy data' J. Int. Eqns. Appl. 19, No 3, 361-391 (2007).
  28. (with David Colton) 'Inequalities in Inverse Scattering Theory' J. Inverse and Ill-Posed Problems,  15, 483-491 (2007).
  29. (with David Colton and Mehmet Cayoren) 'Transmission eigenvalues and the nondestructive testing of dielectrics' Inverse Problems, 26, paper 065016 (2008)
  30. (with Noam Zeev) 'The identification of thin dielectric objects from far field  and near field scattering data' SIAM J. Appl. Math. 69, no 4, 1024-1042 (2009).
  31. (with David Colton and Houssem Haddar) 'The computation of lower bounds for the norm of the index of refraction in an anisotropic madia' J. Int. Eqns Appl, Vol 21, No 2, 203-227 (2009).
  32. (with Houssem Haddar) "On the existence of transmission eigenvalues in an inhomogenous medium" Applicable Analysis 88, no 4, 475-493 (2009).
  33. (with Gen Nakamura,  Mourad Sini and Noam Zeev) 'The identification of a partially coated dielectric medium from far field measurments' Applicable Analysis, 89 no 1, 29-47 (2010).
  34. (with Drossos Gintides) "New results on transmission eigenvalues" Inverse Problems and Imaging, 4 no 1, 39-48 (2010).
  35. (with David Colton and Houssem Haddar) 'The interior transmission problem  for regions with cavities' SIAM J. Math. Analysis 42, no 1, 145-162 (2010).
  36. (with Drossos Gintides and Houssem Haddar) "The existence of an infinite discrete set of transmission eigenvalues" SIAM J. Math. Analysis, 42, no 1, 237-255 (2010).
  37. (with David Colton and Houssem Haddar) 'On the determination of Dirichlet and transmission eigenvalues from far field data' Comptes Rendus Mathematique, 348, no 7-8,  379-383, (2010).
  38. (with David Colton, Peter Monk and Jiguang Sun) "The inverse electromagnetic scattering problem for anisotropic media" Inverse Problems, 26, No 7, 074004, (2010). 
  39. (with David Colton and Peter Monk) 'The determination of boundary coefficients from far field measurements' J. Int. Eqns Appl. 42, no 2, 167-191, (2010).
  40. (with Andreas Kirsch) "On the interior transmission eigenvalue problem" Int. Jour. Comp. Sci. Math. 3, no 1-2, 142-167, (2010).
  41. (with Rainer Kress and Christian Schuft) "Integral equations for shape and impedance reconstruction in corrosion detection" Inverse Problems, 26, No 9, paper 095012 (2010).
  42. (with Bojan Guzina and Cedric Bellis) "On multi-frequency obstacle reconstruction via linear sampling method" Inverse Problems, 26, No 12, 125005, (2010).
  43. (with David Colton and Drossos Gintides) "The interior transmission eigenvalue problem" SIAM J. Math. Analysis, 42, no 6, 2912-2921, (2010).
  44. (with Rainer Kress and Christian Schuft) "Simultaneous reconstruction of shape and impedance in corrosion detection" J. Methods and Applications of Analysis , 17, no 4, 357-378, (2010).
  45. (with Peter Monk) "The determination of anisotropic surface impedance in electromagnetic scattering" J. Methods and Applications of Analysis, 17, no 4, 379-394 (2010).
  46. (with Hai-Hua Qin) "Nonlinear integral equations for shape reconstruction in the inverse interior scattering problem" Inverse Problems, 27, No 3, 035005, (2011).
  47. (with Fang Zheng and Jiguang Sun) "An inverse electromagnetic scattering problem for cavity" Inverse Problems, 27, No 12, 125002, (2011).
  48. (with Michele Di Cristo and Jiguang Sun) "A multistep reciprocity gap functional method for the inverse problem in a multi-layered medium" Complex Variables and Elliptic Equations, (accepted).
  49. (with Cedric Bellis and Bojan Guzina) "Nature of the transmission eigenvalue spectrum for elstic bodies" IMA J. Appl. Math. (accepted).
  50. (with David Colton and Houssem Haddar) "The interior transmission eigenvalue problem for absorbing media"(submitted).
  51. (with Anne Cossonniere and Houssem Haddar) "Transmission eigenvalues for inhomogeneous media containing obstacles" (submitted).

Refereed Conference Proceedings and Book Chapters

  1. `Dense sets and far-field patterns for the vector thermoelastic equation', Equadiff 9 CD ROM, dalsi.pdf, 73-82, (1998); Complete.pdf .
  2. (with Marius Bochniak) ` Domain sensitivity analysis for acoustic scattering problems', in: Mathematical and Numerical Aspects of Wave Propagation (Bermudez et al, eds), SIAM Publications, Philadelphia, 450-454, (2000).
  3. (with Marius Bochniak) `Domain sensitivity analysis of the elastic far-field patterns. Scattering from nonsmooth obstacles', (only the Dirichlet case), in IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity (Abrahams et al, eds). Kluwer Academic Publishers,  217-226 (2002).
  4. (with George Hsiao) 'Mathematical model of the interaction problem between electromagnetic field and elastic body' ,  in Acoustics, Mechanics, and Related Topics of Mathematical  Analysis;  Armand Wirgin ed.,  48-54  (2003).
  5. (with Houssem Haddar)  'Interior transmission problem for anisotropic media, in Mathematical and Numerical Aspects of Wave Propagation', WAVE 2003 (Cohen et al., eds), Springer Verlag, 613-618 (2003).
  6. (with David Colton) 'Mixed boundary value problems in inverse electromagnetic scattering'  in  Advances  in Scattering and Biomedical Engineering,  Proceedings of the sixth Internatinal Workshop, Tsepelovo, Greece  (Fotiadis & Massalas eds.), World Scientific Publishing 60-70  (2004).
  7. (with Eric Darrigrand)  "The linear sampling method for the inverse electromagnetic scattering screens", Proc. Appl. Math. Mech. 5, 645-646 (2005).
  8. (with Housem  Haddar)  "A new linear sampling method for the electromagnetic imaging of burried objects"   Mathematical Methods in Scattering Thoery and Biomedical Engineering, Proceedings of the 7th Internatinal Workshop, Nymphiao, Greece (Fotiadis & Massalas eds.) World Scientific Publishing 19-30  (2006).
  9. (with P. Monk)  "The 3D inverse electromagnetic scattering problem for a coated dielectric" in Numerical Mathematics and Advanced Applications, Proceeding of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advance Applications (De Castro at al eds), Springer, Berlin - Heidelberg,  119-135 (2006).
  10. (with D. Colton and H. Haddar) Inverse scattering for anisotropic media, in Proceedings of the 8th International Conference on Mathematical and Numerical, Aspects of Waves, University of Reading, 150-152 (2007).
  11. (with D. Colton) "The inverse scattering problem for anisotropic media, Advanaced Topics in Scattering and Biomedical Engineering Proceedings of the 8th Internatinal Workshop on Mathematical Methods in Scattering Thoery and Biomedical Engineering, (Charalambopoulos, Fotiadis and Polyzos eds.), World Scientic Publishing, 21-31 (2008).
  12. (with D. Colton and D.Gintides) "The transmission eigenvalue problem" Advanced Topics in Scattering and Biomedical Engineering, Proceedings of the 9th Internatinal Workshop on Mathematical Methods in Scattering Thoery and Biomedical Engineering, (Charalambopoulos, Fotiadis and Polyzos eds.) World Scientic Publishing, 368-380 (2010).
  13. "On the existence of an infinite set of transmission eigenvalues" in Albanian Journal of Natural and Technical Sciences (AJNTS), 28, (2010), 3-14.
  14. Inhomogeneous Media Identification", in Encyclopedia of Applied and Computational Mathematics (to appear).
  15. (with D. Colton) "Inverse Problems and Imaging: Past, Present and Future" UNESCO Project (submitted). 
  16. (with H. Haddar) "Transmission Eigenvalues in Inverse Scattering Theory", Book Chapter, Inside Out, G. Uhlmann editor, (to appear)

 Technical Reports and Reasearch Announcements 

  1. (with Marius Bochniak) `The method of adjoint problems for the domain sensitivity analysis of the acoustic far-field pattern' , (3D domains with smooth edges), 2000/13, Publication of Sonderforschungsbereich 404, Mathematiches Institut A, University of Stuttgart.
  2. (with Houssem Haddar) `The linear sampling method for anisotropic media: Part 2" ,  2001/26, Publication of  MSRI Berkeley, California.


Invited Plenary Talks

  1. “The direct and inverse scattering problem for cracks”  in School on Direct and Inverse Scattering Problems, January 27-31, 2003, INRIA Paris.   Lecture notes 
  2.  “The inverse electromagnetic scattering problem for screens” at  Analytic and Geometric Methods in Inverse Problem, August 25-29, 2003,  Helsinki, Finland  PS file of the talk  and   Example of Reconstruction
  3.   "The inverse scattering problem for electromagnetic screens" at 6th International Workshop on Mathematical   Methods in Scattering Theory and Biomedical Engineering, September 17-21, 2003, Tsepelovo, Greece.
  4.  "Mixed boundary value problem in electromagnetic inverse scattering"  at the Conference on  Perspectives in Inverse Problems, May 31-June 5, 2004, Helsinki, Finland.  PDF file of the talk.
  5. " Qualitative methods in inverse electromagnetic scattering theory'' at  7th International  Conference on Mathematical and Numerical Aspects of Waves, June 20-24, 2005, Brown University,  Rhode Island, USA.
  6. " Inverse scattering and a problem of Hans Lewy"  5th workshop on Computation and Analytic Problems in Spectral Theory, Gregynog, Wales, July 24-29,  2005,  United Kingdom.
  7. "Inverse electromagnetic scattering problem for buried objects" at 7th  International Workshop on Mathematical   Methods in Scattering Theory and Biomedical Engineering, September 8-11, 2005 Nymphaios,  Greece.
  8. "Electromagnetic scattering for mixed boundary value problems" at Advances in Computational Scattering, February 18-23, 2006 BIRS, Banff, Canada.
  9. "Identification of burried objects using electromagnetic Cauchy data, at Inverse Problems and Applications, August 19-24, 2006 BIRS, Banff, Canada.
  10. "Inequalities in inverse scattering for anisotropic media" at Inverse Problems in Wave Scattering, March 4-10, 2007 Oberwolfach, Germany.
  11. " Inequalities in inverse electromagnetic scattering" at 8th Internatinal Workshop on Mathematical   Methods in Scattering Theory and Biomedical Engineering, September 28-30, 2007 Lefkada,  Greece.
  12. "Qualitative methods in electromagnetic inverse scattering" First Workshop on Solution Methodologies  for Direct and  Inverse Scattering Problems, December 12-14, 2007, Universite de Pau et des Pays de l'Adour, France. 
  13. "Inverse electromagnetic scattering for anistropic media" International Conference on Inverse Problems and its Applications, October 9-12, 2008, Fudan University, Shanghai China.
  14. "Faber-Krahn type inequalities in inverse scattering" Inverse Problems: Recent Progress and new Challenges, November 16-21, 2008 BIRS, Banff, Canada.
  15. "The existence of an infinite set of transmission eigenvalues"at 9th Internatinal Workshop on Mathematical   Methods in Scattering Theory and Biomedical Engineering, October 9-11, 2009 Patras,  Greece.
  16.  "Transmission eigenvalues in inverse scattering theory"  in Inverse Problems: Theory and Applications, MSRI, Berkeley, November 8-12, 2010.Video Lecture
  17. "Transmission eigenvalues and their application in nondestructive testing" in Workshop on Future Direction in Applied Mathematics, NC State University, March 10-11, 2011.
  18. "Transmission eigenvalues in inverse scattering theory" in Inverse Problems in Analysis and Geometry, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, UK, August 1-5, 2011.


Invited Colloquium and  Minisymposium Talks

  1. NSF-CBMS Regional Conference Numerical Methods in Forward  and Inverse Electromagnetic Scattering, Colorado School of Mines, Golden, Colorado, June 3-7, 2002. 
  2. AMS Electromagnetic Special Session, Courant Institute, New York, April 12-13, 2003.
  3. Invited talks at two mini-symposiums at Applied Inverse Problems: Theoretical and Computational Aspects, UCLA Lace Arrowhead Conference Center, May 18-23, 2003.
  4. Interdisciplinary Inverse Problems, Opening Conference for Inverse Problems Center,Rensselaer Polytechnic Institute,  April 6-8, 2004.
  5. Colloquium,  University of Delaware, March 18, 2005.
  6. Colloquium, NAM, University of Goettingen, Germany, April 12, 2005.
  7. Colloquium, INRIA, Paris, France, April 20, 2005.
  8. Second Conference on Frontiers in Applied and Computational Mathematics, NJIT, May 13 - 15, 2005. 
  9. Invited talks at two minisymposium at PIERS 2006, Boston, March 26-29, 2006, Talk1 and Talk 2.
  10. Colloquium at Penn State University, April 10, 2006, Talk.
  11. Colloquium at Oakland University, December 6, 2006, Talk.
  12. Colloquium at the Politecnico di Milano, Italy, December 18, 2006, Talk. 
  13. Colloquium at theUniversity of Trento, Italy, March 13, 2007, Talk.
  14. Invited Talk, AMS Special Session,University of  Arizona, April  21-22, 2007.
  15. Invited mini-symposium talk at  the Conference on Applied Inverse  Problems, UBC Vancouver, Canada, June 25-29, 2007. 
  16. Colloquium,  NAM,  University of Goettingen, Germany, July 10, 2007. Talk
  17. Invited talk at the Unifying Themes Workshop, Northeastern University, Boston, August 21-22, 2007.
  18. Invited talk at the Applied Mathematics Summer Workshop, Delaware State University , August 24-26, 2007.
  19. Invited talk at the workshop in High-order Methods for Computational Wave Propagation and Scattering, American Institute of Mathematics, Palo Alto, California, September 10-14, 2007.
  20. Colloquium talk at the University of Tokyo,  Japan, January 30, 2009.
  21. Waves 2009,  Pau,  France,  June 15-19, 2009.
  22. Colloquium talk at the Technical University of  Athens,  Greece, October 7, 2009.
  23. MTS - Geomechanics talk at the University of Minnesota, Department of Civil Engineering, January 29, 2010.
  24. SIAM Conference on Imaging Science, Chicago, April 12-14, 2010. Talk 
  25. IV European Conference on Computational Mechanics, Paris, France, May 16-21, 2010.
  26. QNDE Conference, San Diego, California, July 18-23, 2010 (keynote speaker in the Electromagnetic Inverse Scattering session  Talk). 
  27. Colloquium at Case Western Reserve University, Department of Mathematics, October  29,  2010.
  28.  Colloquium at Write State University, Department of Mathematics and Statistics, January 13, 2011. 
  29. Colloquium at Purdue University, Department of Mathematics, April 29, 2011
  30. Invited talk ath the workshop in AIP Conference, Texas A&M University, May 23-27, 2011.