Abstract
In this chapter the topological asymptotic analysis of the energy shape functional associated with the Poisson’s equation, with respect to singular domain perturbations, is formally developed. In particular, we consider singular perturbations produced by the nucleation of small circular holes endowed with homogeneous Neumann, Dirichlet, or Robin boundary conditions.
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Novotny, A.A., Sokołowski, J. (2020). Singular Domain Perturbation. In: An Introduction to the Topological Derivative Method. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-36915-6_2
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DOI: https://doi.org/10.1007/978-3-030-36915-6_2
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