## Boundary Value Problems

**
Electromagnetic waves:**
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.
**Integral equations:**
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.
**
Diffusion:
**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.