TY - GEN
T1 - BDDC and FETI-DP preconditioners for spectral element discretizations of almost incompressible elasticity
AU - Pavarino, Luca F.
AU - Widlund, Olof B.
PY - 2011
Y1 - 2011
N2 - We construct and study a BDDC (Balancing Domain Decomposition by Constraints) algorithm, see [1, 2], for the system of almost incompressible elasticity discretized with Gauss Lobatto Legendre (GLL) spectral elements. Related FETIDP algorithms could be considered as well. We show that sets of primal constraints can be found so that these methods have a condition number that depends only weakly on the polynomial degree, while being independent of the number of subdomains (scalability) and of the Poisson ratio and Youngs modulus of the material considered (robustness).
AB - We construct and study a BDDC (Balancing Domain Decomposition by Constraints) algorithm, see [1, 2], for the system of almost incompressible elasticity discretized with Gauss Lobatto Legendre (GLL) spectral elements. Related FETIDP algorithms could be considered as well. We show that sets of primal constraints can be found so that these methods have a condition number that depends only weakly on the polynomial degree, while being independent of the number of subdomains (scalability) and of the Poisson ratio and Youngs modulus of the material considered (robustness).
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U2 - 10.1007/978-3-642-15337-2_46
DO - 10.1007/978-3-642-15337-2_46
M3 - Conference contribution
AN - SCOPUS:78651522131
SN - 9783642153365
T3 - Lecture Notes in Computational Science and Engineering
SP - 479
EP - 486
BT - Spectral and High Order Methods for Partial Differential Equations - Selected Papers from the ICOSAHOM'09 Conference
T2 - 8th International Conference on Spectral and High Order Methods, ICOSAHOM'09
Y2 - 22 June 2009 through 26 June 2009
ER -