Shape optimization problems arise in various practical applications. As stated in [DJPZ01], the object that is to be optimized is the geometry as a variable. Shape optimization is closely related to topology optimization, where not only the shape and sizing of a structure has to be found, but also the topology, i.e. the location and shape of holes (see e.g. [BS03]).
KeywordsOptimal Control Problem Topology Optimization Risk Measure Excess Probability Surface Load
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