Shape optimization using wavelet BEM
Helmut Harbrecht (University Kiel)
This talk is concerned with the numerical solution of shape
optimization problems for linear elliptic boundary value problems.
In particular, we treat shape problems from planar elasticity
The underlying state function satisfies a Poisson equation on
the actual domain, the so-called state equation. For application
of first and second order optimization algorithms the state
function itself as well as its higher order normal and tangential
derivatives must be computed.
The state equation has to be solved very often during the
optimization process. Therefore, fast methods are indispensible
for its solution. We use a boundary integral formulation