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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Liu K, Tovar A (2014) An efficient 3D topology optimization code written in Matlab. Struct Multidiscip Optim. doi: 10.1007/s00158-014-1107-x
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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
- Second order sensitivity analysis
- Hessian of the compliance