Construction of the balancing domain decomposition preconditioner for elastodynamic finite deformations problems.

被引:1
作者
Barboteu, M [1 ]
机构
[1] Univ Perpignan, Lab Math & Phys Syst, F-66860 Perpignan, France
关键词
D O I
10.1016/j.crma.2004.12.006
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this Note, we present the construction of a Neumann-Neumann domain decomposition preconditioner with scalability properties to solve nonlinear elastostatic and elastodynamic problems. By using the results given in Alart et al. [C. R. Acad. Sci. Paris, Ser. I 331 (2000) 399-404] and according to the work realized in Farhat et al. [Int. J. Numer. Methods Engrg. 38 (1995) 383 13853] and Fragakis and Papadrakakis [Comput. Methods Appl. Mech. Engrg. 193 (2004) 4611-4662], we give the construction steps of the two level preconditioner which are based on the introduction of a coarse space especially adapted to finite deformations problems with static and dynamic process. (C) 2004 Academie des sciences. Publie par Elsevier SAS. Tons droits reserves.
引用
收藏
页码:171 / 176
页数:6
相关论文
共 7 条
[1]   Non-symmetric balancing domain decomposition preconditioner by additive Schwarz method [J].
Alart, P ;
Barboteu, M ;
Le Tallec, P ;
Vidrascu, M .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 2000, 331 (05) :399-404
[2]   A SCALABLE LAGRANGE MULTIPLIER BASED DOMAIN DECOMPOSITION METHOD FOR TIME-DEPENDENT PROBLEMS [J].
FARHAT, C ;
CHEN, PS ;
MANDEL, J .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (22) :3831-3853
[3]   The mosaic of high-performance domain decomposition methods for structural mechanics - Part II: Formulation enhancements, multiple right-hand sides and implicit dynamics [J].
Fragakis, Y ;
Papadrakakis, M .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (42-44) :4611-4662
[4]   Exact energy and momentum conserving algorithms for general models in nonlinear elasticity [J].
Gonzalez, O .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 190 (13-14) :1763-1783
[5]  
LETALLEC P, 1998, P 9 INT S DOM DEC ME, P413
[6]  
LETALLEC P, 1994, COMPUT MECH ADV, V1, P121
[7]   BALANCING DOMAIN DECOMPOSITION [J].
MANDEL, J .
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1993, 9 (03) :233-241