A monolithic strategy based on an hybrid domain decomposition method for multiphysic problems
Application to poroelasticity
Keywords:
multiphysic, domain decomposition, multield problems, porous mediaAbstract
A monolithic strategy based on an hybrid domain decomposition method for the numerical simulation of multiphysic problems is presented. It relies on a "physical" choice of primal interface unknowns. First numerical assessments are described for poroelasticity problems.
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References
[BIO 41] BIOT M. A., General theory of three dimensional consolidation, Journal of Applied
Physics, vol. 12, num. 2, 1941, p. 188-164.
[COU 90] COUSSY O., Mécanique des Milieux Poreux, Technip, 1990.
[DUR 03] DUREISSEIX D., LADEVÈZE P., SCHREFLER B., A computational strategy for
multiphysics problems application to poroelasticity, International Journal for Numerical
Methods in Engineering, vol. 56, num. 10, 2003, p. 1489-1510.
[FAR 91] FARHAT C., ROUX F.-X., A Method of Finite Element Tearing and Interconnecting
and its Parallel Solution Algorithm, Int. J. Numer. Meth. Engrg., vol. 32, 1991,
p. 1205-1227.
[FEL 88] FELIPPA C. A., GEERS T., Partionned analysis of coupled mechanical systems,
Engineering Computation, vol. 5, 1988, p. 123-133.
[FEL 01] FELIPPA C. A., PARK K., FARHAT C., Partionned analysis of coupled mechanical
systems: Formulation, Computer Methods in Applied Mechanics and Engineering,
vol. 190, 2001, p. 3247-3270.
[FOE 96] FOERCH R., Un environement orienté objet pour la modélisation en mécanique des
matériaux, Thèse de doctorat, Ecole Nationale Supérieure des Mines de Paris, 1996.
[GOR 99] GOREYCHI M., Comportement Thermo-hydro mécanique des argilites de l'Est et
son inuence sur les ourages souterains, EDP Sciences Ed., 1999.
[GOS 02] GOSSELET P., REY C., DASSET P., LENE F., A domain decomposition method for
quasi incompressible formulations with discontinuous pressure eld, Revue Européenne
des Elements Finis, vol. 11, 2002, p. 363-377.
[GOS 04] GOSSELET P., REY C., An hybrid domain decomposition method, Rapport interne,
to be submitted, 2004.
[LEW 91] LEWIS R., SCHREFLER B., SIMONI L., Coupling versus uncoupling in soil consolidation
, International Journal for Numerical and Analytical Methods in Geomechanics,
vol. 15, 1991, p. 533-548.
[MAN 93] MANDEL J., Balancing Domain Decomposition, Comm. Appl. Num. Meth. Engrg.,
vol. 9, 1993, p. 233-241.
[MAT 96] MATTEAZZI R., SCHREFLER B., VITALIANI R., Comparisons of partioned solution
procedures for transient coupled problems in sequential and parallel processing,
Advances in Comput. Struc. Tech. Civil-Comp Ltd, Edinburgh, Scotland, 1996.
[RIX 99] RIXEN D., FARHAT C., A Simple and Efcient Extension of a Class of Substructure
Based Preconditioners to Heterogeneous Structural Mechanics Problems, Int. J. Num.
Meth. Eng., vol. 44, num. 4, 1999, p. 489-516.
