1. A NEW APPROACH FOR CONVERGENCE ACCELERATION OF ITERATIVE METHODS IN STRUCTURAL ANALYSIS.
- Author
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SAFFARI, HAMED, BAGHLANI, ABDOLHOSSEIN, MIRZAI, NADIA M., and MANSOURI, IMAN
- Subjects
STOCHASTIC convergence ,ITERATIVE methods (Mathematics) ,LATTICE theory ,NONLINEAR analysis ,NEWTON-Raphson method ,ALGORITHMS ,PERFORMANCE evaluation - Abstract
In this paper, a new approach is presented to accelerate the nonlinear analysis of structures with low computational cost. The method is essentially based on Newton-Raphson method, which has been improved in each iteration to achieve faster convergence. The normal flow algorithm has been employed to pass successfully through the limit points and through the entire equilibrium path. Subsequently, numerical examples are performed to demonstrate the efficiency of the formulation. The results show better performance, accuracy and rate of convergence of the present method to deal with nonlinear analysis of structures. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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