An Overdetermined Schwarz Alternating Method

1996 ◽  
Vol 17 (4) ◽  
pp. 884-905 ◽  
Author(s):  
Huosheng Sun ◽  
Wei-Pai Tang
Keyword(s):  
Schwarz Alternating Method ◽  
Alternating Method

Application of the Schwarz alternating method for simulating the contact interaction of a system of bodies

2015 ◽  
Vol 55 (8) ◽  
pp. 1393-1406 ◽  
Author(s):  
M. P. Galanin ◽  
V. V. Lukin ◽  
A. S. Rodin ◽  
I. V. Stankevich
Keyword(s):  
Contact Interaction ◽  
Schwarz Alternating Method ◽  
Alternating Method

Multiple Circular Inclusion Problems in Plane Elastostatics

1974 ◽  
Vol 41 (1) ◽  
pp. 215-221 ◽  
Author(s):  
I.-W. Yu ◽  
G. P. Sendeckyj
Keyword(s):  
Uniaxial Tension ◽  
Elastic Moduli ◽  
Circular Inclusion ◽  
Elastic Matrix ◽  
Schwarz Alternating Method ◽  
Inclusion Problems ◽  
Alternating Method ◽  
Elastic Inclusions ◽  
Plane Bending ◽  
Plane Elastostatics

The problem of an unbounded elastic matrix containing any number of elastic inclusions is considered. The inclusions can have any radii and elastic moduli. Furthermore, the spacing of the inclusions can be arbitrary. The solution for the cases of uniaxial tension and in-plane bending is found by the Schwarz alternating method. Graphical results are presented for a number of examples.

The Sinc-Galerkin Schwarz Alternating Method for Poisson’s Equation

1995 ◽  
pp. 247-256
Author(s):  
Nancy J. Lybeck ◽  
Kenneth L. Bowers
Keyword(s):  
Poisson’S Equation ◽  
Poisson's Equation ◽  
Schwarz Alternating Method ◽  
Alternating Method

scholarly journals Using the Schwarz Alternating Method to Identify Critical Water-Resistant Thickness between Tunnel and Concealed Cavity

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Jiaqi Guo ◽  
Jianxun Chen ◽  
Fan Chen ◽  
Shanxiu Huang ◽  
Hongyu Wang
Keyword(s):  
Critical Thickness ◽  
Lateral Pressure ◽  
Water Pressure ◽  
Pressure Coefficient ◽  
Strength Criterion ◽  
Pressurized Water ◽  
Schwarz Alternating Method ◽  
Alternating Method ◽  
Analytical Result ◽  
The Stability

This paper aims to estimate the stability of the water-resistant strata between the tunnel and the small-medium-sized concealed cavity filled with high-pressurized water or other fillings at optional position around tunnel through solving the double-hole problem. The analytical method to identify the critical water-resistant thickness is proposed based on the Schwarz alternating method and Griffith strength criterion, and the program to calculate the critical thickness was prepared according to this method using mathematical software. Parametric study of the critical thickness indicates that the critical water-resistant thickness will increase with the buried depth of the tunnel and cavity size; the lateral pressure coefficient has more complicated influence on the critical thickness, which is affected by cavity position; when the cavity is filled with sand or gravel, the critical water-resistant thickness will decrease with the increase of the filling pressure; and when the cavity is filled with the high-pressurized water, the critical thickness will decrease as the water pressure initially and increase afterwards. The analytical result of the critical thickness is consistent with that obtained by numerical simulation using the user-defined program based on FLAC3D, demonstrating the rationality and feasibility of the proposed method in this study.

scholarly journals The maximum norm analysis of a nonmatching grids method for a class of parabolic $p(x)$-Laplacien equation

2022 ◽  
Vol 40 ◽  
pp. 1-13
Author(s):  
Sadok Otmani ◽  
Salah Boulaaras ◽  
Ali Allahem
Keyword(s):  
Error Analysis ◽  
Continuous Solution ◽  
Maximum Norm ◽  
Optimal Error ◽  
Schwarz Alternating Method ◽  
Nonmatching Grids ◽  
Alternating Method

Motivated by the work of Boulaaras and Haiour in [7], we provide a maximum norm analysis of Schwarz alternating method for parabolic p(x)-Laplacien equation, where an optimal error analysis each subdomain between the discrete Schwarz sequence and the continuous solution of the presented problem is established

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