  Wide variety of engineering design tasks can be formulated as constrained
optimization problems where the shape and topology of the domain are optimized
to reduce costs while satisfying certain constraints. Several mathematical
approaches were developed to address the problem of finding optimal design of
an engineered structure. Recent works have demonstrated the feasibility of
boundary element method as a tool for topological-shape optimization. However,
it was noted that the approach has certain drawbacks, and in particular high
computational cost of the iterative optimization process. In this short note we
suggest ways to address critical limitations of boundary element method as a
tool for topological-shape optimization. We validate our approaches by
supplementing the existing complex variables boundary element code for
elastostatic problems with robust tools for fast topological-shape
optimization. The efficiency of the approach is illustrated with a numerical
example.
