BDDC and FETI--DP preconditioners for spectral element discretizations of almost incompressible elasticity
Contributo in Atti di convegno
Data di Pubblicazione:
2011
Citazione:
BDDC and FETI--DP preconditioners for spectral element discretizations of almost
incompressible elasticity / L.F. Pavarino, O.B. Widlund - In: Spectral and High Order Methods for Partial Differential Equations : Selected papers from the ICOSAHOM '09 conference / [a cura di] J. S. Hesthaven, E. Ronquist. - Berlin : Springer, 2011. - ISBN 978-3-642-15337-2. - pp. 479-486 (( convegno ICOSAHOM 2009 tenutosi a Uppsala nel 2009 [10.1007/978-3-642-15337-2_46].
Abstract:
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).
Tipologia IRIS:
03 - Contributo in volume
Elenco autori:
L.F. Pavarino, O.B. Widlund
Link alla scheda completa:
Titolo del libro:
Spectral and High Order Methods for Partial Differential Equations : Selected papers from the ICOSAHOM '09 conference