Efficient Newton method for optimal viscous dampers design

The existence of maximum point, oddity point and saddle point often leads to computation failure. The optimization idea is based on the reality that the optimum towards the local minimum related the initial point. After getting several optimal results with different initial point, the best result is taken as the final optimal result. The arithmetic improvement of multi-dimension Newton method is improved. The improvement is important for the optimization method with grads convergence rule or searching direction constructed by grads. A computational example with a saddle point, maximum point and oddity point is studied by multi-dimension Newton method, damped Newton method and Newton direction method. The importance of the idea of blind walking repeatedly is testified. Owing to the parallel arithmetic of modernistic optimization method, it does not need to study optimization problem with seriate feasible domain by modernistic optimization method.

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Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

Computational Methods in Applied Mathematics ◽

10.1515/cmam-2020-0133 ◽

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.

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Sequential fully implicit Newton method for compositional flow and transport

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110541 ◽

2021 ◽

pp. 110541

Author(s):

Jiawei Li ◽

Pavel Tomin ◽

Hamdi Tchelepi

Keyword(s):

Newton Method ◽

Flow And Transport ◽

Compositional Flow ◽

Fully Implicit

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Influence of viscous dampers ultimate capacity on the seismic reliability of building structures

Structural Safety ◽

10.1016/j.strusafe.2021.102096 ◽

2021 ◽

Vol 91 ◽

pp. 102096

Author(s):

Fabrizio Scozzese ◽

Laura Gioiella ◽

Andrea Dall'Asta ◽

Laura Ragni ◽

Enrico Tubaldi

Keyword(s):

Building Structures ◽

Ultimate Capacity ◽

Viscous Dampers ◽

Seismic Reliability

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