Convergence of the discrete free boundaries for finite element approximations

DOI10.1051/m2an/1983170403851zbMath0547.65081OpenAlexW2472085366MaRDI QIDQ3339222

Luis A. Caffarelli, Franco Brezzi

Publication date: 1983

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/1983170403851

zbMATH Keywords

rate of convergencefinite elementdiscrete maximum principleLaplacianfree boundaryobstacle problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (8)

Convergence of the approximate free boundary for the multidimensional one-phase Stefan problem ⋮ A note on the approximation of free boundaries by finite element methods ⋮ Une méthode multigrille pour la solution des problèmes d'obstacle ⋮ L ∞−ASYMPTOTIC BEHAVIOR OF A FINITE ELEMENT METHOD FOR A SYSTEM OF PARABOLIC QUASI-VARIATIONAL INEQUALITIES WITH NONLINEAR SOURCE TERMS ⋮ Stability of free boundaries ⋮ A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates ⋮ A partition of unity method for the displacement obstacle problem of clamped Kirchhoff plates ⋮ Optimal \(L^{\infty}\)-error estimate for variational inequalities with nonlinear source terms

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