Adjoint-based Sensitivity Analysis for High-Energy Density Radiaitive   Transfer using Flux-Limited Diffusion
  Uncertainty quantification and sensitivity analyses are a vital component for predictive modeling in the sciences and engineering. The adjoint approach to sensitivity analysis requires solving a primary system of equations and a mathematically related set of adjoint equations. The information contained in the equations can be combined to produce sensitivity information in a computationally efficient manner. In this work, sensitivity analyses are performed on systems described by flux-limited radiative diffusion using the adjoint approach. The sensitivities computed are shown to agree with standard perturbation theory, and can be obtained in significantly less computational time. 
Kelli D. Humbird and Ryan G. McClarren
physics.comp-ph