On Efficient Solutions to the Continuous Sensitivity Equation Using Automatic Differentiation

@article{Borggaard2000OnES,
  title={On Efficient Solutions to the Continuous Sensitivity Equation Using Automatic Differentiation},
  author={Jeff Borggaard and Arun Verma},
  journal={SIAM J. Scientific Computing},
  year={2000},
  volume={22},
  pages={39-62}
}
Shape sensitivity analysis is a tool that provides quantitative information about the influence of shape parameter changes on the solution of a partial differential equation (PDE). These shape sensitivities are described by a continuous sensitivity equation (CSE). Automatic differentiation (AD) can be used to perform this sensitivity analysis without writing any additional code to solve the sensitivity equation. The approximate solution of the PDE uses a spatial discretization (mesh) that often… CONTINUE READING

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References

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Showing 1-10 of 23 references

Computational methods for design sensitivities, in Optimal Control: Theory, Algorithms

  • J. Burns, L. Stanley, D. Stewart
  • Appl., Appl. Optim. 15,
  • 1998
1 Excerpt

Numerical Methods for Accurate Computation of Design Sensitivities

  • D. Stewart
  • Ph.D. thesis, Virginia Tech,
  • 1998
1 Excerpt

Semi-automatic differentiation, in Computational Methods for Optimal Design

  • T. F. Coleman, F. Santosa, A. Verma
  • JEFF BORGGAARD AND ARUN VERMA
  • 1998
2 Excerpts

Structured Automatic Differentiation

  • A. Verma
  • Ph.D. thesis,
  • 1998
1 Excerpt

Asymptotically consistent gradients in optimal design, in Multidisciplinary Design Optimization: State of the Art

  • J. Borggaard, J. Burns
  • 1997
1 Excerpt

Computing design sensitivities using an adaptive finite element method

  • J. Borggaard, D. Pelletier
  • Proceedings of the 27th AIAA Fluid Dynamics…
  • 1996
2 Excerpts

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