Identification of Microstructured Materials by Phase and Group Velocities
Journal Title: Mathematical Modelling and Analysis - Year 2009, Vol 14, Issue 1
Abstract
An inverse problem to determine parameters of microstructured solids by means of group and phase velocities of wave packets is studied. It is proved that in the case of normal dispersion the physical solution is unique and in the case of anomalous dispersion two physical solutions occur. Numerical tests are presented.
Authors and Affiliations
J. Janno
Keywords
Related Articles
- EP ID EP84294
- DOI 10.3846/1392-6292.2009.14.57-68
- Views 92
- Downloads 0
Relaxation of a Weakly Discontinuous Functional Depending on One Control Function
The paper considers an optimal control problem of the type J=int_{Omega} < B(x) nabla u, nabla u > + < g,nabla u>dx → min div A(x) nabla u-h(x)=0 in Omega u ϵ H[sub]0[/sub][sup]1[/sup](Omega;R[sup]m[/sup]), h...
Positive Solutions Bifurcating from Zero Solution in a Predator-Prey Reaction–Diffusion System
An elliptic system subject to the homogeneous Dirichlet boundary con- dition denoting the steady-state system of a two-species predator-prey reaction– diffusion system with the modified Leslie–Gower and Holling-type II s...
Numerical Study of the Rosensweig Instability in a Magnetic Fluid Subject to Diffusion of Magnetic Particles
The present study is devoted to the classical problem on stability of a magnetic fluid layer under the influence of gravity and a uniform magnetic field. A periodical peak-shaped stable structure is formed on the fluid s...
An Implementation of a Parallel Generalized Branch and Bound Template
Branch and bound (BnB) is a general algorithm to solve optimization problems. We present a template implementation of the BnB paradigm. A BnB template is implemented using C++ object oriented paradigm. MPI is used for un...
Two-Sample Problems in Statistical Data Modelling
A common problem in mathematical statistics is to check whether two samples differ from each other. From modelling point of view it is possible to make a statistical test for the equality of two means or alternatively tw...