A note on the theoretical convergence properties of the SIMP method

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A reevaluation of the SIMP method with filtering and an alternative formulation for solid–void topology optimization (2005, background): “The recent work by Martínez (2005) punctuates this interaction.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Some theoretical convergence properties of the SIMP method have been discussed by Rietz (2001), Martinez (2005), and Stolpe and Svanberg (2001b).”
A critical review of established methods of structural topology optimization (2009, background): “…presented in 1990 (Rozvany and Zhou 1991). b The corresponding exact analytical truss solution (Lewinski et al. 1994) (Buhl et al. 2000), multi-physics actuators (Sigmund 2001b), photonic crystal structures (Jensen and Sigmund 2004, 2005), and phononic band gap materials (Sigmund and Jensen 2003).”
On some fundamental properties of structural topology optimization problems (2010, background): “The very strong assumptions stated in Rietz (2001 )a re relaxed in Martinez (2005) .”