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- Subjects
- 78-XX Optics, electromagnetic theory
We study the evolution law of the canonical energy of an electromagnetic material, immersed in an environment that is thermally and electromagnetically passive, at constant temperature. We use as constitutive equation for the heat flux a Maxwell-Cattaneo like equation.
In a posteriori error analysis of reduced basis approximations to affinely parametrized partial differential equations, the construction of lower bounds for the coercivity and inf-sup
stability constants is essential. In [Huynh et al., C. R. Acad.
Sci. Paris Ser. I Math.345 (2007) 473–478], the authors presented an efficient
method, compatible with an off-line/on-line strategy, where the on-line computation is reduced to
minimizing a linear functional under a few linear constraints. These constraints...
A new system of integral equations for the exterior 2D time harmonic
scattering problem is investigated. This system was first proposed by B. Després in [11]. Two new derivations of this system are given:
one from elementary manipulations
of classical equations, the other based on a minimization of a quadratic
functional. Numerical issues are addressed to investigate the potential
of the method.
The basic concepts and models used in the study of nuclear magnetic resonance are
introduced. A simple imaging experiment is described, as well as, the reduction of the
problem of selective excitation to a classical problem in inverse scattering.
Geometric properties of finite systems of homogeneous resistive wire segments in a Euclidean -space are studied in the case that the absorption of energy of such a system in an arbitrary linear electrical field is invariant under any orthogonal transformation of the system.
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to...
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