https://orcid.org/0000-0001-8324-821X
References
- Ji X, Sun J, Turner T. A mixed finite element method for Helmholtz Transmission eigenvalues. ACM Trans Math Soft. 2012;38(4), Algorithm 922. doi: 10.1145/2331130.2331137
- Bondarenko O, Harris I, Kleefeld A. The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary. Appl Anal. 2017;96(1):2–22. doi: 10.1080/00036811.2016.1204440
- Cakoni F, Haddar H. On the existence of transmission eigenvalues in an inhomogeneous medium. Appl Anal. 2009;88:475–493. doi: 10.1080/00036810802713966
- Bondarenko O, Liu X. The factorization method for inverse obstacle scattering with conductive boundary condition. Inverse Probl. 2013;29:095021.
- Cakoni F, Colton D. A qualitative approach to inverse scattering theory. Berlin: Springer; 2014.
- Cakoni D. Colton F, Monk P. The determination of boundary coefficients from far field measurements. J Int Eqns Appl. 2010;42(2):167–191. doi: 10.1216/JIE-2010-22-2-167
- McLean W. Strongly elliptic systems and boundary integral equations. Cambridge: Cambridge University Press; 2000.
- Cakoni F, Colton D, Haddar H. On the determination of Dirichlet or transmission eigenvalues from far field data. C R Acad Sci Paris. 2010;348:379–383. doi: 10.1016/j.crma.2010.02.003
- Colton D, Kress R. Inverse acoustic and electromagnetic scattering theory. 3rd ed. New York: Springer; 2013.
- Cakoni D. Colton F, Haddar H. The interior transmission eigenvalue problem for absorbing media. Inverse Probl. 2012;28:045005.
- Moskow S. Nonlinear eigenvalue approximation for compact operators. J Math Phys. 2015;56:113512. doi: 10.1063/1.4936304
- Leung Y, Colton D. Complex transmission eigenvalues for spherically stratified media. Inverse Probl. 2012;28:075005. doi: 10.1088/0266-5611/28/7/075005
- Conway J. Functions of one complex variable. 2nd ed. New York: Springer; 1978.
- Kirsch A, Lechleiter A. The inside–outside duality for scattering problems by inhomogeneous media. Inverse Probl. 2013;29:104011.
- Lechleiter A, Rennoch M. Inside–outside duality and the determination of electromagnetic interior transmission eigenvalues. SIAM J Math Anal. 2015;47:684–705. doi: 10.1137/14098538X
- Peters S. The inside–outside duality for elastic scattering problems. Appl Anal. 2016;96(1):48–69. doi: 10.1080/00036811.2016.1210789
- Peters S, Kleefeld A. Numerical computations of interior transmission eigenvalues for scattering objects with cavities. Inverse Probl. 2016;32:045001. doi: 10.1088/0266-5611/32/4/045001
- Peters S, Lechleiter A. The inside–outside duality for inverse scattering problems with near field data. Inverse Probl. 2015;31:085004.
- Kleefeld A. A numerical method to compute interior transmission eigenvalues. Inverse Probl. 2013;29:104012. doi: 10.1088/0266-5611/29/10/104012
- Kleefeld A. Numerical methods for acoustic and electromagnetic scattering: Transmission boundary-value problems, interior transmission eigenvalues, and the factorization method [habilitation thesis]. Brandenburg University of Technology Cottbus-Senftenberg; 2015.
- Kleefeld A, Reichwein E. Improvement of the inside–outside duality method. Springer; 2017. p. 149–159. (Integral Methods in Science and Engineering; vol. 1).