Operating characteristics of hyperbolically and elliptically constrained self-adaptive incremental Newton-Raphson algorithms

DOI10.1016/0016-0032(83)90041-8zbMath0514.65037OpenAlexW2078107261MaRDI QIDQ1051399

Surapong Tovichakchikul, Tomas Arechaga, Joseph Padovan

Publication date: 1983

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(83)90041-8

zbMATH Keywords

stabilitynumerical experimentsefficiencyconvergence characteristicsversatilityNewton-Raphson techniquesafety zones

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Multiply constrained partitioned nonlinear equation solvers ⋮ Orthogonal trajectory accession to the nonlinear equilibrium curve

Cites Work

• Unnamed Item
• Some practical procedures for the solution of nonlinear finite element equations
• Formal convergence characteristics of elliptically constrained incremental Newton-Raphson algorithms
• An incremental approach to the solution of snapping and buckling problems
• The solution of nonlinear finite element equations
• A fast incremental/iterative solution procedure that handles “snap-through”
• Self-adaptive predictor-corrector algorithms for static nonlinear structural analysis
• On the solution of creep induced buckling in general structure
• Quasi-Newton Methods, Motivation and Theory

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