On the use of a modified Newton method for nonlinear finite element analysis

DOI10.1016/0045-7825(93)90209-GzbMath0846.73062OpenAlexW1986596719MaRDI QIDQ1912157

Ulf Ringertz, Anders Forsgren

Publication date: 23 September 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90209-g

zbMATH Keywords

minimization problemsnonlinear elasticitydirections of negative curvaturegeometrically nonlinear shellstwo descent directions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15) Optimization problems in solid mechanics (74P99)

Related Items

Difference convex optimization techniques in nonsmooth computational mechanics, Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

Cites Work

• Nonlinear finite element analysis of shells. I. Three-dimensional shells
• An approach to nonlinear programming
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• On the Identification of Local Minimizers in Inertia-Controlling Methods for Quadratic Programming
• Preconditioners for Indefinite Systems Arising in Optimization
• Newton-type methods for unconstrained and linearly constrained optimization
• On the use of directions of negative curvature in a modified newton method
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