Lecture in WS 2015/16:
Numerical Analysis of Acoustic and Electromagnetic Scattering Problems (V5E4)
Tuesday 12(c.t.)–14, Wegelerstr. 6, SR 6.020
(first lecture on 20. October 2015)
Wave phenomena in acoustics or electromagnetism are usually described
by partial differential equations (PDEs), with the Helmholtz equation
and Maxwell's equations being their most prominent instances.
The inverse scattering problem considers the far-field pattern of an incoming
wave to determine the position and the shape of unknown objects
in a medium.
Numerical simulations of these wave phenomena typically rely on spatial
discretizaions with the finite element method.
After a short introduction to the physical modelling of the
underlying equations, the course will introduce finite elements
for time-harmonic wave propagation and analyze their stability and
Furthermore, we will study selected topics of numerical
The lecture will discuss the mathematics that underlies
the numerical methods as well as their practical implementation.
There will be an optional
Practical Lab Numerical Simulation (P4E1)
Contents of Modules Algorithmische Mathematik I/II
Einführung in die Grundlagen der Numerik
and Wissenschaftliches Rechnen I
as well as basic knowledge of finite element methods and
- D. Colton and R. Kress. Inverse acoustic and electromagnetic scattering theory ,volume 93 of Applied Mathematical Sciences. Springer, New York, third edition, 2013.
- F. Ihlenburg. Finite element analysis of acoustic scattering, volume 132 of Applied Mathematical Sciences. Springer-Verlag, New York, 1998.