Application of the Fenchel Theorem to the Obstacle Problem

Abstract : In this paper we apply a duality algorithm to the general obstacle problem for second order operators. We reduce the problem to the null obstacle case and we solve it by using an algorithm based on a dual approximate problem. This method generates a quadratic minimization problem, which is easy to implement numerically. The convergence properties and the numerical results show that the algorithm is working properly for any admissible obstacle.
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Christian Pötzsche; Clemens Heuberger; Barbara Kaltenbacher; Franz Rendl. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. Springer Berlin Heidelberg, IFIP Advances in Information and Communication Technology, AICT-443, pp.181-188, 2014, System Modeling and Optimization. 〈10.1007/978-3-662-45504-3_17〉
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Diana Merluşcă. Application of the Fenchel Theorem to the Obstacle Problem. Christian Pötzsche; Clemens Heuberger; Barbara Kaltenbacher; Franz Rendl. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. Springer Berlin Heidelberg, IFIP Advances in Information and Communication Technology, AICT-443, pp.181-188, 2014, System Modeling and Optimization. 〈10.1007/978-3-662-45504-3_17〉. 〈hal-01286412〉

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