scholarly journals An Iterative Method for Seismic Stability Analysis of Three Dimensional Earth Dams

1983 ◽  
Vol 23 (2) ◽  
pp. 155-164 ◽  
Author(s):  
Tatsuo Ohmachi ◽  
Hirofumi Yokoyama
Keyword(s):  
Stability Analysis ◽  
Iterative Method ◽  
Three Dimensional ◽  
Seismic Stability ◽  
Earth Dams

Seismic stability analysis of three-dimensional slopes using elasto-plastic FE method

2011 ◽  
Vol 3 (9) ◽  
pp. 367-376
Author(s):  
T. K. Nian ◽  
R. Q. Huang ◽  
K. L. Zhang ◽  
G. Q. Chen
Keyword(s):  
Stability Analysis ◽  
Three Dimensional ◽  
Seismic Stability ◽  
Fe Method

scholarly journals STABILITY ANALYSIS OF SEIDEL TYPE MULTICOMPONENT ITERATIVE METHOD

2002 ◽  
Vol 7 (1) ◽  
pp. 1-10
Author(s):  
V. N. Abrashin ◽  
R. Čiegis ◽  
V. Pakeniene ◽  
N. G. Zhadaeva
Keyword(s):  
Stability Analysis ◽  
Iterative Method ◽  
Iterative Methods ◽  
Convergence Rates ◽  
Splitting Method ◽  
Three Dimensional ◽  
Initial Approximation ◽  
Discrete Problem ◽  
Smooth Functions ◽  
The Stability

This paper deals with the stability analysis of multicomponent iterative methods for solving elliptic problems. They are based on a general splitting method, which decomposes a multidimensional parabolic problem into a system of one dimensional implicit problems. Error estimates in the L 2 norm are proved for the first method. For the stability analysis of Seidel type iterative method we use a spectral method. Two dimensional and three dimensional problems are investigated. Finally, we present results of numerical experiments. Our goal is to investigate the dependence of convergence rates of multicomponent iterative methods on the smoothness of the solution. Hence we solve a discrete problem, which approximates the 3D Poisson's problem. It is proved that the number of iterations depends weakly on the number of grid points if the exact solution and the initial approximation are smooth functions, both. The same problem is also solved by the Stability Correction iterative method. The obtained results indicate a similar behavior.

Three-dimensional face stability analysis of shallow tunnels using numerical limit analysis and material point method

2021 ◽  
Vol 112 ◽  
pp. 103904
Author(s):  
Fabricio Fernández ◽  
Jhonatan E.G. Rojas ◽  
Eurípedes A. Vargas ◽  
Raquel Q. Velloso ◽  
Daniel Dias
Keyword(s):  
Stability Analysis ◽  
Limit Analysis ◽  
Three Dimensional ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Face Stability ◽  
Shallow Tunnels ◽  
Dimensional Face

scholarly journals Stability analysis and attractor dynamics of three-dimensional dark solitons with localized dissipation

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Christian Baals ◽  
Alexandre Gil Moreno ◽  
Jian Jiang ◽  
Jens Benary ◽  
Herwig Ott
Keyword(s):  
Stability Analysis ◽  
Three Dimensional ◽  
Dark Solitons ◽  
Attractor Dynamics
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