Generalized Adjoint for Physical Processes with Parameterized Discontinuities. Part VI: Minimization Problems in Multidimensional Space

Qin Xu, Jidong Gao
1999 Journal of the Atmospheric Sciences  
Generalized adjoint with modified discretization and generalized coarse-grain adjoint are derived for a vector system of equations that contains parameterized on/off switches. With vector examples, it is shown that the conventional adjoint minimization may have a convergence problem in multidimensional space. The problem can be solved by the generalized adjoint with modified discretization or by the generalized coarse-grain adjoint without modifying the traditional discretization in the forward model.
doi:10.1175/1520-0469(1999)056<0994:gafppw>2.0.co;2 fatcat:bphyoh2tcfatte3fx5lyv3bwl4