Skip to main content
SpringerLink
Log in

A posteriori error estimation in sensitivity analysis

  • Technical Papers
  • Published:
Structural optimization Aims and scope Submit manuscript

Abstract

We present a posteriori error estimators suitable for automatic mesh refinement in the numerical evaluation of sensitivity by means of the finite element method. Both diffusion (Poisson-type) and elasticity problems are considered, and the equivalence between the true error and the proposed error estimator is proved. Application to shape sensitivity is briefly addressed.

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

  • Babuška, I.; Durán, R.; Rodríguez, R. 1992: Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements.SIAM J. Numer. Anal. 29, 947–964

    Google Scholar 

  • Babuška, I.; Miller, A. 1981: A posteriori error estimates and adaptive techniques for the finite element method.Technical Note, BN-968, Inst. for Phys. Sci. and Technol., Univ. of Maryland

  • Babuška, I.; Yu, D. 1986: Asymptotically exact a posteriori error estimator for biquadratic elements.Technical Note, BN-1050, Inst. for Phys. Sci. and Technol., Univ. of Maryland

  • Ciarlet, P.G. 1978:The finite element method for elliptic problems. Amsterdam: North Holland

    Google Scholar 

  • Clément, P. 1975: Approximation by finite elements function using local regularization.R.A.I.R.O. 7 R-2, 77–84

    Google Scholar 

  • Guillaume, P; Masmoudi, M. 1994: Computation of higher order derivatives in optimal shape design.Numerische Mathematik (to appear)

  • Hörnlein, H.R.E.; Schittkowski, K. (eds.) 1993: Software systems for structural optimization.Int. Series of Numer. Math. 110, Basel: Birkhauser

    Google Scholar 

  • Padra, C.; Vénere, M.J. 1994: On adaptivity for diffusion problems using triangular elements.Eng. Comp. (to appear)

  • Verfürth, R. 1989: A posteriori error estimators for the Stokes equations.Num. Math. 55, 309–325.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, 8400, San Carlos de Bariloche, Argentina

    G. C. Buscaglia & C. Padra

  2. Laboratório Nacional de Computação Científica, Lauro Müller 455, 22290.160, Rio de Janeiro, Brazil

    R. A. Feijóo

Authors
  1. G. C. Buscaglia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. A. Feijóo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Padra
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buscaglia, G.C., Feijóo, R.A. & Padra, C. A posteriori error estimation in sensitivity analysis. Structural Optimization 9, 194–199 (1995). https://doi.org/10.1007/BF01743969

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01743969

Keywords

Search

Navigation