A Convergent Algorithm for Finding KL-Optimum Designs and Related Properties

2013 ◽  
pp. 1-9 ◽  
Author(s):  
Giacomo Aletti ◽  
Caterina May ◽  
Chiara Tommasi
Keyword(s):  
Convergent Algorithm

New fourth-order convergent algorithm for analysis of trusses with material and geometric nonlinearities

2021 ◽  
pp. 030932472110005
Author(s):  
Luiz Antonio Farani de Souza ◽  
Douglas Fernandes dos Santos ◽  
Rodrigo Yukio Mizote Kawamoto ◽  
Leandro Vanalli
Keyword(s):  
Fourth Order ◽  
Nonlinear Behavior ◽  
Path Following ◽  
System Of Nonlinear Equations ◽  
The Finite Element Method ◽  
Step Method ◽  
Geometric Nonlinearities ◽  
Standard Procedures ◽  
Elastoplastic Constitutive Model ◽  
Convergent Algorithm

This paper presents a new algorithm to solve the system of nonlinear equations that describes the static equilibrium of trusses with material and geometric nonlinearities, adapting a three-step method with fourth-order convergence found in the literature. The co-rotational formulation of the Finite Element Method is used in the discretization of structures. The nonlinear behavior of the material is characterized by an elastoplastic constitutive model. The equilibrium paths with limit points of load and displacement are obtained using the linearized Arc-Length path-following technique. The numerical results obtained with the free program Scilab show that the new algorithm converges faster than standard procedures and modified Newton-Raphson, since the approximate solution of the problem is obtained with a smaller number of accumulated iterations and less CPU time. The equilibrium paths show that the structures exhibit a completely different behavior when the material nonlinearity is considered in the analysis with large displacements.

A superlinearly convergent algorithm for min-max problems

2003 ◽  
Author(s):  
E. Polak ◽  
D.Q. Mayne ◽  
J.E. Higgins
Keyword(s):  
Convergent Algorithm

scholarly journals Polyharmonic Decomposition of a Digital Image

2020 ◽  
pp. 144-150
Author(s):  
A. Markovsky
Keyword(s):  
Image Processing ◽  
Fundamental Solution ◽  
Digital Image Processing ◽  
Digital Image ◽  
Computational Experiments ◽  
Polyharmonic Equation ◽  
Direct Sum ◽  
The Space L2 ◽  
Convergent Algorithm

A decomposition of the space L2(Q) into a direct sum of polyharmonic subspaces is obtained. The completeness of shift systems of the fundamental solution of the polyharmonic equation is proved. A convergent algorithm for solving the problem of separating the polyharmonic component of a function from L2(Q) is developed. The resulting decomposition is applied to some digital image processing problems; the results of computational experiments are presented.

Sign in / Sign up

Export Citation Format

Share Document