Aerodynamic design via control theory
Journal of Scientific Computing
Optimal control of two- and three-dimensional incompressible Navier-Stokes flows
Journal of Computational Physics
A PDE sensitivity equation method for optimal aerodynamic design
Journal of Computational Physics
Recipes for adjoint code construction
ACM Transactions on Mathematical Software (TOMS)
A Differentiation Index for Partial Differential-Algebraic Equations
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Admitting the Inadmissible: Adjoint Formulation for Incomplete Cost Functionals in Aerodynamic Optimization
Error estimation and adaptation for functional outputs in time-dependent flow problems
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 31.45 |
A new adjoint sensitivity analysis approach is presented for time-dependent partial differential equations with adaptive mesh refinement. The new approach, called ADDA, combines the best features of both the adjoint of the discretization (AD) and discretization of the adjoint (DA) approaches. It removes the obstacles of applying AD to adaptive methods and, in contrast to DA, requires for its use only a minimal amount of knowledge about the formulation of adjoint PDEs and their boundary conditions. The effectiveness and efficiency of ADDA are demonstrated for several numerical examples.