Work

Optimal control of unilateral obstacle problem with a source term

Year: 2008

Type: preprint

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 $H^{2}$. 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.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.0803.1978

Author: Ghanem, Radouen

Institutions: Université d'Orléans, Laboratoire de Mathématiques Analyse, Probabilités, Modélisation Orléans

Language: English

Topic: Contact Mechanics and Variational Inequalities

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2949515281

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