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Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
inverse problems size estimation electrical impedance tomography
2012/6/19
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance to...
Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
Homogenization Fast Fourier Transform Conjugate Gradients
2011/9/20
Abstract: The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization ...
Wave scattering by small bodies and creating materials with a desired refraction coefficient
wave scattering small scatterers wave focusing negative refraction
2011/1/21
In this paper the author’s invited plenary talk at the 7-th PACOM (PanAfrican Congress of Mathematicians), is presented.
Electromagnetic wave scattering by many small particles and creating materials with a desired permeability
electromagnetic waves wave scattering by many small bodies
2010/12/15
Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances.
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The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials
class of two-dimensional nonlocal nonlinear wave equatio elastic materials
2010/12/1
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing antiplane shear motions in nonlocal elasticity.
Risk assessment for hazardous materials transportation
HazMat route optimization risk analysis
2010/9/15
The assessment of hazardous materials (HazMats) transport risk assumes a fundamental importance, especially in urban areas, in order to identify possible alternative routes and choose among these the ...