Optimal control of unilateral obstacle problem with a source term

2008/03/13 by Radouen Ghanem, Ghanem, Radouen
Computer Science · Engineering · Mathematics · #35R35 #49J20. #49J40 #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Topology Optimization in Engineering #math.OC #msc:35R35 #msc:49J20. #msc:49J40

paper · pdf · doi:10.48550/arxiv.0803.1978

arxiv created 2008/03/13 · openalex publication_date 2008/03/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in H². We use an approximate technique to introduce a family of problems governed by variational equations. We prove optimal solutions existence and give necessary optimality conditions.

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