Einladung zu einem Vortrag von:
Dr. Thorsten Hohage
Universität Göttingen
Dienstag, 14. Oktober 2003
15:30 Uhr, P 215
Computation of Resonances in Open Systems based on the Pole
Condition
Resonances in open systems can be defined as square roots of complex eigenvalues of the negative
Laplacian on an unbounded domain with corresponding eigenfunctions which satisfy a radiation condition and typically
grow exponentially at infinity. Applications include the modelling
of slat noise of air planes. Classical radiation conditions based
e.g. on an integral representation of the solution do not lead
to feasible algorithms since the unknown eigenvalues $k2$ occur
in a complicated way as arguments of a Hankel function. We discuss an alternative
radiation condition called pole condition which has been suggested
by Frank Schmidt. After discretization it leads to linear generalized
eigenvalue problems which can be solved by standard algorithms. The feasibility of this method is illustrated in numerical examples.
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