Automated computation of topological derivatives with application to nonlinear elasticity and reaction-diffusion problems
Peter Gangl,
Kevin Sturm
Abstract:Purpose While topological derivatives have proven useful in applications of topology optimisation and inverse problems, their mathematically rigorous derivation remains an ongoing research topic, in particular in the context of nonlinear partial differential equation (PDE) constraints. Design/methodology/approach We present a systematic yet formal approach for the computation of topological derivatives of a large class of PDE-constrained topology optimization problems with respect to arbitrary inclusion shapes… Show more
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