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\chapter{Adjoint methods} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\Large w.i.p.}
adjoint methods in geodynamics \cite{bugs09,ghbu16,hobo14,isks07,ligs17,wahg15,wama09,wosp14}.
Also see {\tt johnson\_Notes on Adjoint Methods.pdf} and {\tt bradley-PDE-constrained optimization and the adjoint method.pdf}
Advection-diffusion: \url{https://en.wikipedia.org/wiki/Adjoint_equation}
Derivation of the adjoint poisson equation: \url{https://math.stackexchange.com/questions/2269111/derivation-of-the-adjoint-poisson-equation}
Inverting PDEs with adjoints (esp Poisson) \url{https://joelcfd.com/inverting-pdes-with-adjoints/}
Video: Introduction to the adjoint method \url{https://youtu.be/EybH_Q-QTZ8}
Video: adjoint-based optimization \url{https://youtu.be/Yiz92Ekn7vU}