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A posteriori error estimation in sensitivity analysis

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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.

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References

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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

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Keywords

  • Sensitivity Analysis
  • Finite Element Method
  • Civil Engineer
  • Error Estimation
  • Numerical Evaluation