Topological Derivatives in Shape Optimization by Antonio André Novotny
English | PDF | 2013 | 422 Pages | ISBN : 3642352448 | 4.6 MB
The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints.