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.