Fixed point methods for internal free boundary problems

DOI10.1080/01630569808816835zbMath0910.35150OpenAlexW2066442033MaRDI QIDQ4400148

T. Tiihonen

Publication date: 2 August 1998

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

Full work available at URL: https://doi.org/10.1080/01630569808816835

zbMATH Keywords

shape optimization problemshape sensitivity analysisnonsmooth variational problemfixed point algorithm with super-linear convergence rate

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35)

Related Items (1)

Mathematical programming approach for unconfined seepage flow problem

Cites Work

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• Anatomy of the shape Hessian
• Anatomy of the shape Hessian via Lie brackets
• Directional derivative of a minimax function
• Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
• Shape optimization and trial methods for free boundary problems

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