Skip to main content
SpringerLink
Log in

On the reduced Hessian of the compliance

  • DISCUSSION
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Liu K, Tovar A (2014) An efficient 3D topology optimization code written in Matlab. Struct Multidiscip Optim. doi: 10.1007/s00158-014-1107-x

    Google Scholar 

  • Hoppe R, Petrova S, Schulz V (2002) A primal-dual Newton-type interior-point method for topology optimization. J Optimiz Theory App 114(3):545–571

    Article  MATH  MathSciNet  Google Scholar 

  • Schulz V (2004) Simultaneous solution approaches for large optimization problems. J Comput Appl Math:629–641

  • Othmer C (2008) A continuous adjoint formulation for the computation of topological and surface sensitivities of ducted flows. Int J Numer Meth Fl 58:861–877

    Article  MATH  MathSciNet  Google Scholar 

  • Carlsson J, Sandberg M, Szepessy A (2009) Symplectic Pontryagin approximations for optimal design. ESAIM-Math Model Num 43:3–32

    Article  MATH  MathSciNet  Google Scholar 

  • Evgrafov A (2014) State space Newton method for topology optimization. Comput Method Appl M 278:272–290

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Norwegian University of Science and Technology, N–7491, Trondheim, Norway

    Anton Evgrafov

Authors
  1. Anton Evgrafov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anton Evgrafov.

Electronic supplementary material

Below is the link to the electronic supplementary material.

(M 11.5 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-014-1204-x

Keywords

Search

Navigation