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The Finite Element Approximation in a System of Parabolic Quasi-Variational Inequalities Related to Management of Energy Production with Mixed Boundary Condition

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This paper deals with a system of parabolic quasi-variational inequalities related to the management of energy production with mixed boundary condition. A quasi-optimal L ∞-error estimate is established using a new discrete algorithm based on a theta time scheme combined with a finite element spatial approximation. Our approach stands on a discrete L ∞-stability property with respect to the right-hand side.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences and Arts, Al-Rass, El-Qassim University, Buraydah, Kingdom of Saudi Arabia

    Salah Boulaaras

  2. Department of Mathematics and Computer Science, Tamanrasset University Center, Tamanrasset, Algeria

    Med Amine Bencheikh le Hocine

  3. Department of Mathematics, Faculty of Science, Annaba University, P.O. Box 12, Annaba, Algeria

    Mohamed Haiour

Authors
  1. Salah Boulaaras
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  2. Med Amine Bencheikh le Hocine
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  3. Mohamed Haiour
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Correspondence to Salah Boulaaras.

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Boulaaras, S., le Hocine, M.A.B. & Haiour, M. The Finite Element Approximation in a System of Parabolic Quasi-Variational Inequalities Related to Management of Energy Production with Mixed Boundary Condition. Comput Math Model 25, 530–543 (2014). https://doi.org/10.1007/s10598-014-9247-9

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  • DOI: https://doi.org/10.1007/s10598-014-9247-9

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