Numerical optimization for the calculus of variations by gradients on non-Hilbert Sobolev spaces using conjugate gradients and normalized differential equations of steepest descent

DOI10.1016/J.NA.2008.11.065zbMath1238.65060OpenAlexW2038762893MaRDI QIDQ419806

Ivie jun. Stein

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.065

zbMATH Keywords

calculus of variationssteepest descentconjugate gradientsnumerical optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37)

Cites Work

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• Conjugate gradient methods in Banach spaces
• The symmetry of sessile and pendent drops
• The stability of the axially symmetric pendent drop
• The metric gradient in normed linear spaces
• On the convergence of descent algorithms
• Singular quadratic functionals
• Solutions of Differential Equations by Evaluations of Functions
• Predictor-Corrector Methods of High Order With Improved Stability Characteristics

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