Boundary Value Problems
The research is centered on the study of propagation and scattering of
linear waves using classical electromagnetic theory applied to antennas,
wave guides etc. Analytical methods (eg Wiener-Hopf technique) and numerical
methods (eg integral equations, point collocation methods, geometrical
theory of diffraction) are used.
Boundary point collocation methods:
This study is concerned with a general method for approximate solution
of a large class of boundary value problems, eg electromagnetic-, elastical-,
water wave- and electrochemical problems. The applicability of the method
is investigated, also using high precision arithmetic and interval analysis.
As a solution method for elastostatic boundary value problems integral
equations are investigated with respect to existence and uniqueness, by
means of analytical and numerical methods.
The project is a numerical simulation of the float
zone process. Of special interest is the diffusion for phosphorus, which
determines the electrical properties of the produced crystal.
Ultrasonics in non-destructive testing:
Ultrasound can be used to examine materials for defects by studying
signals reflected from the interior of the material.
The work involves mathematical models and simulations of ultrasound
in inhomogeneous and anisotropic materials.