Local modal reduction in explicit dynamics with domain decomposition. Part 2: Specific interface treatment when modal subdomains are involved

International Journal for Numerical Methods in Engineering

Volumn 61, Issue 1, 2004, Pages 69-95

  Faucher, Vincent ^a   Combescure, Alain ^b  

^a Grande Voie des Vignes   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Cholesky method; Condensation; Dual Schur domain decomposition; Explicit structural dynamic; Preconditioned conjugate gradient method

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

LOCAL MODEL REDUCTION; MULTIDOMAIN FORMALISM;

DECOMPOSITION;

MATHEMATICAL METHOD; STRUCTURAL ANALYSIS;

EID: 4344575976     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1059     Document Type: Article

References (12)

1. Gravouil A, Combescure A. Multi-time-step explicit-implicit method for nonlinear structural dynamics. International Journal for Numerical Methods in Engineering 2001; 50:199-225.
2. Herry B, Di Valentin L, Combescure A. An approach to the connection between subdomains with non-matching meshes for transient mechanical analysis. International Journal for Numerical Methods in Engineering 2002; 55:973-1003.
3. Faucher V, Combescure A. A time and space mortar method for coupling linear modal subdomains and nonlinear subdomains in explicit structural dynamics. Computer Methods in Applied Mechanics and Engineering 2003; 192:509-533.
4. Barraco A, Bung H, Combescure A, Cuny B, Hoffmann A, Jamet P, Lepareux M. Plexus. Software for the numerical analysis if the dynamical behavior of rigid and flexible mechanisms. Rapport CEA 89.307, 1989.
5. Robbe MF, Lepareux M, Bung H. Programme PLEXUS-notice théorique. Rapport CEA 94.490, 1994.
6. Belytschko T, Hugues TJR. Computational Methods for Transient Analysis. North-Holland: Amsterdam, 1986.
7. Ciarlet PG. Introduction à l'analyse numérique matricielle et à l'optimisation. Masson: Paris, 1990.
8. Lascaux P, Théodor R. Analyse numérique matricielle appliquée à l'art de l'ingénieur. Tomes 1 and 2. Masson: Paris, 1986.
9. Farhat C, Roux FX. A method of finite element tearing and interconnecting and its parallel solution algorithm. International Journal for Numerical Methods in Engineering 1991; 32:1205-1227.
10. Farhat C, Pierson K, Lesoinne M. The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically nonlinear structural analysis problems. Computer Methods in Applied Mechanics and Engineering 2000; 184:333-374.
11. Bernardi C, Maday, Y, Patera AT. A new non-conforming approach to domain decomposition-the mortar element method. Non Linear Partial Differential Equations and their Applications. Collège de France. Pitman: London, 1990.
12. Craig R, Bampton M. Coupling of substructures for dynamic analysis. AIAA Journal 1961-1962; 4: 265-271:332-345.