Concurrent multiscale coupling in solid mechanics using the Schwarz alternating method.

The Schwarz alternating method in solid mechanics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.02.006 ◽

2017 ◽

Vol 319 ◽

pp. 19-51 ◽

Cited By ~ 6

Author(s):

Alejandro Mota ◽

Irina Tezaur ◽

Coleman Alleman

Keyword(s):

Solid Mechanics ◽

Schwarz Alternating Method ◽

Alternating Method

Corrigendum to “The Schwarz alternating method in solid mechanics” [Comput. Methods Appl. Mech. Engrg. 319 (2017) 19–51]

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.10.031 ◽

2019 ◽

Vol 344 ◽

pp. 1147-1148

Author(s):

Alejandro Mota ◽

Irina Tezaur ◽

Coleman Alleman

Keyword(s):

Solid Mechanics ◽

Schwarz Alternating Method ◽

Alternating Method

Parallel Asynchronous Schwarz Alternating Method for Obstacle Problems on Grid Computing

Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing ◽

10.4203/ccp.96.118 ◽

2011 ◽

Author(s):

M. Chau ◽

T. Garcia ◽

P. Spiteri

Keyword(s):

Grid Computing ◽

Obstacle Problems ◽

Schwarz Alternating Method ◽

Alternating Method

Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.672 ◽

2004 ◽

Vol 20 (5) ◽

pp. 363-378 ◽

Cited By ~ 1

Author(s):

Qikui Du ◽

Dehao Yu

Keyword(s):

Unbounded Domains ◽

Time Dependent ◽

Natural Boundary ◽

Schwarz Alternating Method ◽

Alternating Method ◽

Time Dependent Problems

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

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542515080102 ◽

2015 ◽

Vol 55 (8) ◽

pp. 1393-1406 ◽

Cited By ~ 4

Author(s):

M. P. Galanin ◽

V. V. Lukin ◽

A. S. Rodin ◽

I. V. Stankevich

Keyword(s):

Contact Interaction ◽

Schwarz Alternating Method ◽

Alternating Method

An overdetermined Schwarz alternating method

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01991 ◽

1994 ◽

pp. 349-354

Author(s):

Victor H. Sun ◽

Wei-Pai Tang

Keyword(s):

Schwarz Alternating Method ◽

Alternating Method

Multiple Circular Inclusion Problems in Plane Elastostatics

Journal of Applied Mechanics ◽

10.1115/1.3423228 ◽

1974 ◽

Vol 41 (1) ◽

pp. 215-221 ◽

Cited By ~ 30

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.

Schwarz Alternating Method

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities ◽

10.1007/978-1-4613-3338-8_16 ◽

1998 ◽

pp. 423-442

Author(s):

Zi Cai Li

Keyword(s):

Schwarz Alternating Method ◽

Alternating Method

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

Computation and Control IV ◽

10.1007/978-1-4612-2574-4_16 ◽

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

An Overdetermined Schwarz Alternating Method

SIAM Journal on Scientific Computing ◽

10.1137/0917057 ◽

1996 ◽

Vol 17 (4) ◽

pp. 884-905 ◽

Cited By ~ 6

Author(s):

Huosheng Sun ◽

Wei-Pai Tang

Keyword(s):

Schwarz Alternating Method ◽

Alternating Method