A fixed-point approximation method for some noncoercive variational problems

DOI10.1016/S0898-1221(00)00061-4zbMath0954.65054OpenAlexW2084436565MaRDI QIDQ1568719

Messaoud Boulbrachene

Publication date: 21 June 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00061-4

zbMATH Keywords

error estimatesvariational inequalityfinite elementquasi-variational inequalitieslinear elliptic boundary value problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

• On finite element approximation in the \(L^{\infty}\)-norm of variational inequalities
• The noncoercive quasi-variational inequalities related to impulse control problems
• Problèmes unilateraux
• Maximum principle and uniform convergence for the finite element method
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