scholarly journals An active set quasi-Newton method with projected search for bound constrained minimization

2009 ◽  
Vol 58 (1) ◽  
pp. 161-170 ◽  
Author(s):  
Li Sun ◽  
Guoping He ◽  
Yongli Wang ◽  
Liang Fang
Keyword(s):  
Newton Method ◽  
Constrained Minimization ◽  
Active Set ◽  
Quasi Newton ◽  
Bound Constrained Minimization

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

An improved constrained quasi-Newton method for the solution of inverse electromagnetic problems

1996 ◽  
Vol 32 (3) ◽  
pp. 1318-1321 ◽  
Author(s):  
C. Chat-Uthai ◽  
J.A. Ramirez ◽  
E.M. Freeman
Keyword(s):  
Newton Method ◽  
Electromagnetic Problems ◽  
Quasi Newton
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