Comparison principles applied to obstacle problems with penalties

DOI10.1080/01630569508816663zbMath0860.35042OpenAlexW2164306160MaRDI QIDQ4883626

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Publication date: 2 July 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816663

zbMATH Keywords

rate of convergenceweak maximum principlesdiscrete penalty methods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Numerical solution of the obstacle problem by the penalty method
• On the solution of discretized obstacle problems by an adapted penalty method
• Convergence of a penalty-finite element approximation for an obstacle problem
• On \(M\)-functions and their application to nonlinear Gauss-Seidel iterations and to network flows
• Dualität und Strafmethoden bei elliptischen Differentialgleichungen
• L_∞-error estimate for the numerical treatment of the obstacle problem by the penalty method
• Mixed and Hybrid Finite Element Methods
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