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Optimal error estimates of a class of system of two quasi-variational inequalities

  • Received: 25 December 2020 Accepted: 23 February 2021 Published: 31 March 2021
  • MSC : 65K15, 65N30, 65N15

  • In the present paper, the finite element approximation of a class of system of two quasi-variational inequalities with terms sources and obstacles depending on solution is analyzed. An optimal L-error estimate is derived, combining a modified algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).

    Citation: Abida Harbi, Nasreddine Nemis, Mohamed Haiour. Optimal error estimates of a class of system of two quasi-variational inequalities[J]. AIMS Mathematics, 2021, 6(6): 5977-6001. doi: 10.3934/math.2021353

    Related Papers:

  • In the present paper, the finite element approximation of a class of system of two quasi-variational inequalities with terms sources and obstacles depending on solution is analyzed. An optimal L-error estimate is derived, combining a modified algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).



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