A refined Newton's mesh independence principle for a class of optimal shape design problems

DOI10.2478/s11533-006-0027-4zbMath1112.65061OpenAlexW1987562817MaRDI QIDQ861584

Ioannis K. Argyros

Publication date: 29 January 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-006-0027-4

zbMATH Keywords

Newton's methoddiscrete approximationradius of convergence

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Optimization of shapes other than minimal surfaces (49Q10) Numerical solutions to equations with nonlinear operators (65J15) Discrete approximations in optimal control (49M25)

Cites Work

• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• A Mesh-Independence Principle for Operator Equations and Their Discretizations
• Newton's Mesh Independence Principle for a Class Of Optimal Shape Design Problems
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