2015/12/31 by Olguin, Mariela C., Tarzia, Domingo A.
#35J86 #35R35 #49J20 #49M25 #65K15 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.1601.00012
The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter α>0) is obtained through the finite element method when its parameter h→ 0. We also obtain the limit of the discrete optimal control and the associated state system solutions when α→ ∞ (for each h>0) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when h→ 0 and α→ ∞. Moreover, the double convergence is also obtained when (h, α)→(0, ∞).