On the reduced Hessian of the compliance


We describe simple numerical tests, which could have been used for verifying the derivation of the second order sensitivity analysis in a recent educational article “An efficient 3D topology optimization code written in Matlab” by Liu and Tovar (Struct Multidiscip Optim, 2014. doi:10.1007/s00158-014-1107-x). We also discuss the second order sensitivity analysis for the problem considered in the cited paper.

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Correspondence to Anton Evgrafov.

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Evgrafov, A. On the reduced Hessian of the compliance. Struct Multidisc Optim 50, 1197–1199 (2014) doi:10.1007/s00158-014-1204-x

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  • Second order sensitivity analysis
  • Hessian of the compliance