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 oftenâ€¦Â CONTINUE READING