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Analysis of a mixed formulation of a bilateral obstacle problem

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  • Bouchlaghem, Mohammed
  • Mermri, El Bekkaye

Abstract

In this paper we present a reformulation of a bilateral obstacle problem as a mixed formulation problem based on subdifferential of a continuous function of which the subdifferential can characterize the non-contact domain. Then we present the analysis of the discrete problem. We prove the convergence of the approximate solution to the exact one and we provide an error estimate. This formulation was established in an abstract way, then the theoretical results was applied to a bilateral obstacle problem.

Suggested Citation

  • Bouchlaghem, Mohammed & Mermri, El Bekkaye, 2018. "Analysis of a mixed formulation of a bilateral obstacle problem," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 45-55.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:45-55
    DOI: 10.1016/j.amc.2017.09.016
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    References listed on IDEAS

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    1. Addou, A. & Lidouh, A. & Seddoug, B., 2008. "A projection algorithm for bilateral obstacle problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 142-150.
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    Cited by:

    1. Bouchlaghem, Mohammed & Mermri, El Bekkaye, 2021. "A Uzawa algorithm with multigrid solver for a bilateral obstacle problem," Applied Mathematics and Computation, Elsevier, vol. 389(C).

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    1. Bouchlaghem, Mohammed & Mermri, El Bekkaye, 2021. "A Uzawa algorithm with multigrid solver for a bilateral obstacle problem," Applied Mathematics and Computation, Elsevier, vol. 389(C).

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