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vogelius@math.rutgers.edu

Last updated: 7/18/98

1. First order corrections to the homogenized eigenvalues of a periodic composite medium. The case of Neumann boundary conditions. Preprint (with S. Moskow).
2. An efficient approach to calculate current distributions for electro-deposition of chip interconnections. This Technical Note also appears in the IMA Preprint Series as Preprint #1705, but will otherwise not be submitted for publication (with F. Santosa).
3. Wavelet Based Homogenization of a 2 Dimensional Elliptic Problem. Preprint (with Y. Capdeboscq).
4. Singularities almost always scatter: regularity results for non-scattering inhomogeneities. To appear in Communications on Pure and Applied Mathematics. (with F. Cakoni)
5. On the regularity of non-scattering anisotropic inhomogeneities. To appear in Archive for Rational Mechanics and Analysis. (with F. Cakoni and J. Xiao)
6. Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index. To appear in Journal de Math. Pures et Appl. (with F. Cakoni and N. Hovsepyan)
7. Reconstruction of cracks in Calderon's inverse conductivity problem using energy comparisons. To appear in SIAM J. Math. Anal. (with H. Garde)
8. On the lack of external response of a nonlinear medium in the second-harmonic generation process. Submitted. (with F. Cakoni, N. Hovsepyan and M. Lassas)
9. Time domain error bounds for Perfectly Matched Layers: a simple analysis. Submitted. (with K. Bryan)

1. Finiteness results for non-scattering Herglotz waves. The case of inhomogeneities obtained by very general perturbations of disks. (with J. Xiao).