The precise way they are used in the MARK step influences the convergence of the AFEM; see  and .
We are now in the position to present our adaptive algorithm AFEM. Similar adaptive mesh adaptation algorithms have been presented in the literature [19, 22].
Convergence and optimality of AFEM. In this section we shall prove the convergence and optimality of the algorithm developed in Section 2.
The following local bound for the estimator in terms of the local difference between two Galerkin solutions up to a local oscillation term plays a key role in the convergence analysis of AFEM.
As mentioned in the previous section, a successful convergent AFEM should include the so-called oscillation reduction.
Then there exist constants [beta] > 0 and 0 < [rho] < 1, depending only on the shape regularity of meshes, the data, the dimension n, the parameters [alpha], [theta], [gamma] used by AFEM, such that for any two consecutive iterates k and k + 1 we have
All nonregistered vehicles are tracked through AFEMS like every other equipment item on base.
In addition, vehicle use codes are established to identify the actual vehicle assets (registered vehicles are the only equipment items in AFEMS that carry separate authorization and asset equipment use codes):
Equipment custodians notify their MAJCOM equipment management offices (CEMO) through AFEMS when replacements are needed.
A way to identify vehicle funding against a particular program or system would be to assign the unit's PEC against the allowance source code (ASC) within AFEMS. The PEC could be used as part of the definition of the individual ASC.
An equipment item, accounted for in AFEMS, in FSG 17, 23, 24, 38, or 39 or FSC 4210 (or any in an FSG with a material management code YW), which operates on the ground, either self-propelled or pulled by a powered item, which performs a specific function or mission, while transporting personnel or cargo.
Apply FAD codes of each unit to the registered equipment authorizations for that unit, within AFEMS, as opposed to the generic FAD code for base transportation or no FAD code at all.