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<p>This paper presents and examines a finite element approximation for a system of multiple quasi-variational inequalities. We analyze these inequalities, including terms for sources and obstacles that depend on the solution itself. An optimal <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi mathvariant="normal">∞</mi> </msup> </math></EquationSource> <EquationSource Format="TEX">$L^{\infty}$</EquationSource> </InlineEquation>-error estimate is derived by combining a modified Bensoussan-Lions type algorithm with established uniform error estimates for elliptic variational inequalities (VI).</p>

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Optimal error estimate for a system of several quasi variational inequalities

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月28日

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  • Salsabile Loudjani,
  • Samira Saadi,
  • Mohamed Haiour

摘要

This paper presents and examines a finite element approximation for a system of multiple quasi-variational inequalities. We analyze these inequalities, including terms for sources and obstacles that depend on the solution itself. An optimal L ∞ $L^{\infty}$ -error estimate is derived by combining a modified Bensoussan-Lions type algorithm with established uniform error estimates for elliptic variational inequalities (VI).