TY - JOUR
T1 - Incorporation of linear multipoint constraints in substructure based iterative solvers. Part 1
T2 - A numerically scalable algorithm
AU - Farhat, Charbel
AU - Lacour, Catherine
AU - Rixen, Daniel
PY - 1998/11/30
Y1 - 1998/11/30
N2 - We consider the iterative solution by a class of substructuring methods of the large-scale systems of equations arising from the finite element discretization of structural models with an arbitrary set of linear multipoint constraints. We present a methodology for generalizing to such problems numerically scalable substructure based iterative solvers, without interfering with their formulations and their well-established local and global preconditioners. We apply this methodology to the FETI method, and show that the resulting algorithm is numerically scalable with respect to both the substructure and problem sizes.
AB - We consider the iterative solution by a class of substructuring methods of the large-scale systems of equations arising from the finite element discretization of structural models with an arbitrary set of linear multipoint constraints. We present a methodology for generalizing to such problems numerically scalable substructure based iterative solvers, without interfering with their formulations and their well-established local and global preconditioners. We apply this methodology to the FETI method, and show that the resulting algorithm is numerically scalable with respect to both the substructure and problem sizes.
KW - Domain decomposition
KW - Multipoint constraints
KW - Numerical scalability
UR - http://www.scopus.com/inward/record.url?scp=0032206448&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(19981130)43:6<997::AID-NME455>3.0.CO;2-B
DO - 10.1002/(SICI)1097-0207(19981130)43:6<997::AID-NME455>3.0.CO;2-B
M3 - Article
AN - SCOPUS:0032206448
SN - 0029-5981
VL - 43
SP - 997
EP - 1016
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
IS - 6
ER -