Combining arc‐length control and line searches in path following
DOI10.1002/cnm.1640111003zbMath0855.65055OpenAlexW1995068776MaRDI QIDQ4854721
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Publication date: 11 December 1995
Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cnm.1640111003
numerical examplesfinite elementline searchsystems of nonlinear algebraic equationsEuler predictorpath following techniquesNewton correctorarc-length controls
Numerical computation of solutions to systems of equations (65H10) Finite element methods applied to problems in solid mechanics (74S05) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)
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Cites Work
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- Some computational aspects of the stability analysis of nonlinear structures
- Orthogonal trajectory accession to the nonlinear equilibrium curve
- Consistent linearization for path following methods in nonlinear FE analysis
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- Rudimentary considerations for effective line search method in nonlinear finite element analysis
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- The solution of nonlinear finite element equations
- Solution algorithms for nonlinear structural problems
- Improved iteration strategy for nonlinear structures
- A fast incremental/iterative solution procedure that handles “snap-through”
- Derivatives of tangential stiffness matrices for equilibrium path descriptions
- A path-following algorithm with quadratic predictor
- On improved predictions for structural equilibrium path evaluations
- The Application of Newton’s Method to the Problem of Elastic Stability
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