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vogelius@math.rutgers.edu

Last updated: 7/18/98



Preprints


 
Below is a chronological list of recent publications of mine. To read the abstract of any of the following papers click the corresponding link. You can view the paper in its entirety by clicking the post script link accompanying its abstract

  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. High frequency perturbation formulas for the effect of small inhomogeneities. Preprint (with D.J. Hansen).
  5. Imagerie electromagnetique de petites inhomogeneites. To appear in ESAIM: Proceedings (with Y. Capdeboscq).
  6. Cloaking via change of variables in Electrical Impedance Tomography. To appear in Inverse Problems (with R.V. Kohn, H. Shen and M.I. Weinstein).
  7. A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity. To appear in Annales de l'Institut Henri Poincare (with H-M. Nguyen).
  8. Transient behavior of solutions to a class of nonlinear boundary value problems. Submitted (with K. Bryan)


Papers Currently in Preparation
  1. Cloaking via change of variables for the Helmholtz Equation. (with R.V. Kohn, D. Onofrei and M.I. Weinstein)
  2. Some perturbation results associated with irregular perfectly conducting inclusions. (with F. de Gournay).
  3. Elliptic estimates in composite media with smooth inclusions: an integral equation approach. (with H. Ammari, E. Bonnetier and F. Triki).




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