BibTeX
@ARTICLE{
         Hinze2005Ara,
       author = "Michael Hinze and Julia Sternberg",
       title = "A-revolve: an adaptive memory-reduced procedure for calculating adjoints with an
         application to computing adjoints of the instationary {N}avier--{S}tokes system",
       journal = "Optimization Methods and Software",
       volume = "20",
       number = "6",
       pages = "645--663",
       year = "2005",
       publisher = "Taylor & Francis",
       doi = "10.1080/10556780410001684158",
       url = "https://doi.org/10.1080/10556780410001684158",
       eprint = "https://doi.org/10.1080/10556780410001684158",
       abstract = "This article presents a low-storage and low-run-time approach for calculating
         numerical approximations of adjoint equations for the instationary Navier--Stokes equations with
         adaptive evaluation of the discretization step. It utilizes adaptive checkpointing. The amounts of
         memory reduction due to checkpointing and of the increase in run-time caused by repeated forward
         integration of the Navier--Stokes equations are reported. It is one result that memory reduction of
         two orders of magnitude only causes a slow down factor of 2--3 in run-time. It is a further result
         that the adaptive checkpointing for the instationary Navier--Stokes equations causes only a slight
         increase of the run-time compared to the static optimal checkpointing. The amounts of run-time
         increase caused by the adaptive checkpoint allocations compared with the static optimal
         checkpointing are reported as well.",
       ad_theotech = "Checkpointing"
}