scholarly journals Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation

2016 ◽  
Vol 86 (307) ◽  
pp. 2129-2157 ◽  
Author(s):  
Hélène Barucq ◽  
Théophile Chaumont-Frelet ◽  
Christian Gout
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Finite Element Solution ◽  
Element Solution ◽  
Propagation Media

scholarly journals The Stability Analysis of Landslide Slopes using the Finite Element Solution of Groundwater Flow

Landslides ◽  
1994 ◽  
Vol 30 (4) ◽  
pp. 1-11_1
Author(s):  
Kazunari INABA ◽  
Shoji YOSHIDA ◽  
Toshirou NAKANO ◽  
Shinichi TAKEUCHI ◽  
Osamu SATO
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Groundwater Flow ◽  
Finite Element Solution ◽  
Element Solution ◽  
The Stability

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.

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