Optimal Shape Design, Lecture Notes in Maths. 1740, A. Cellina & A. Ornelas eds, 47{156, Springer, 2000. An Introduction to the Homogenization Method in Optimal Design

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On the Local Representation of G-Closure (2001, background): “(They obtained much more, namely, an explicit analytical description for sets Gθ M.) The case of a linear elliptic equation and a finite number of materials was investigated by Tartar [ 12 ].”
Optimal topologies derived from a phase-field method (2012, background): “The development of topology optimization based on homogenization can be traced back to the 1970’s and is today well established, cf. Allaire (2002) and Tartar (2000) .”
Shape and topology optimization of the robust compliance via the level set method (2008, methodology): “Examples of topology optimization methods are the homogenization method [1, 8, 25], the SIMP method [7], the vector variational method [19].”