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Faculty & Staff

Darko Volkov

Publications

Peer-Reviewed (Refereed) Journal Articles

• (with R. Lui) “Spreading Speed and Traveling Wave Solutions of a Partially Sedentary Population,'' IMA Journal of Applied Mathematics. Advance Access published online on October 5, 2007 IMA Journal of Applied Mathematics, doi:10.1093/imamat/hxm025.

• (with I. Ionescu) “Earth surface effects on active faults: An eigenvalue asymptotic analysis,'' Journal of Computational and Applied Mathematics, published on line, doi:10.1016/j.cam.2007.08.004.

• (with S. Shipman) “Guided modes in periodic slabs: existence and nonexistence,''  SIAM J. Appl. Math. 2007 Vol. 67, No. 3, pp. 687-713.

• (with I. Ionescu)  “An inverse problem for the recovery of active faults from surface observations,'' Inverse Problems 22 (2006) 2103-2121.

• (with G. A. Kriegsmann) “Scattering by a perfect conductor in a waveguide: energy preserving schemes for integral equations ,'' IMA Journal of Applied Mathematics 2006 71: 898-923.

• (with S. Shipman) “Existence of guided modes on periodic slabs," Discrete and Continuous Dynamical systems, Supplement Volume 2005, pp 784-791.

• (with D. Papageorgiou and P. Petropoulos) "Accurate and efficient boundary integral methods for electrified liquid bridge problems," SIAM Journal on Scientific Computing, Volume 26, Number 6 (2005) pp. 2102-2132.

• “Numerical methods for locating small dielectric inhomogeneities,"  Wave Motion, 38 (2003), pp189-206.

• (with H. Ammari) "Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter," Journal of Computational Physics, 189 (2003), pp371-389.

• (with H. Ammari) “Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the presence of imperfections of small diameter."  Asymptotic Analysis, 30 (2002), pp331-350.

• (with H. Ammari and M. Vogelius), "Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations," Journal de Mathematiques Pures et Appliquees, Volume 80, Issue 8, October 2001, pp. 769-814.

• (with M. Vogelius) “Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter,''  Mathematical Modelling and Numerical Analysis, M2AN, Vol. 34, N 4, 2000, pp. 723-748.

Other

Other Publications or Works

• “A surface traction free Green's tensor of the second kind for 3D linear elasticity.''  (In preparation)

• (with H. Ammari and A. Kozhemyak)  "Asymptotic formulas for thermography based recovery of inclusions."  (In preparation) 

• (with I. Ionescu)  “Recovery of active faults from surface observations: the full 3D problem.'' (In preparation)

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