Structural and Multidisciplinary Optimization

, Volume 50, Issue 6, pp 1197–1199 | Cite as

On the reduced Hessian of the compliance

  • Anton Evgrafov


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.


Second order sensitivity analysis Hessian of the compliance 

Supplementary material

158_2014_1204_MOESM1_ESM.m (9 kb)
(M 11.5 KB)


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway

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