منابع مشابه
FETI-DP methods for Optimal Control Problems
where μ , and λ are the Lamé parameters. The state (displacement field) is sought in V = H1 0 (Ω ,∂ΩD) 2 = {y ∈ H1(Ω)2 : y = 0 on ∂ΩD}, where Ω ⊂ R2 and ∂ΩD is part of its boundary. For simplicity, we consider the case of volume control, i.e., U = L2(Ω). Dual-primal FETI methods were first introduced by Farhat, Lesoinne, Le Tallec, Pierson, and Rixen [3] and have successfully scaled to 105 proc...
متن کاملA FETI-DP Formulation for Compressible Elasticity with Mortar Constraints
A FETI-DP formulation for three dimensional elasticity problems on non-matching grids is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on subdomain interfaces. The mortar matching condition are considered as weak continuity constraints in the FETIDP formulation. A relatively large set of primal constraints, which include average and mome...
متن کاملDual-primal Feti Methods for Linear Elasticity
Dual-Primal FETI methods are nonoverlapping domain decomposition methods where some of the continuity constraints across subdomain boundaries are required to hold throughout the iterations, as in primal iterative substructuring methods, while most of the constraints are enforced by Lagrange multipliers, as in one-level FETI methods. The purpose of this article is to develop strategies for selec...
متن کاملSome computational results for robust FETI-DP methods applied to heterogeneous elasticity problems in 3D
Robust FETI-DP methods for heterogeneous, linear elasticity problems in three dimensions were developed and analyzed in Klawonn and Widlund [2004]. For homogeneous problems or materials with only small jumps in the Young moduli, the primal constraints can be chosen as edge averages of the displacement components over well selected edges; see Klawonn and Widlund [2004] and for numerical experime...
متن کاملNonlinear FETI-DP and BDDC Methods
New nonlinear FETI-DP (dual-primal finite element tearing and interconnecting) and BDDC (balancing domain decomposition by constraints) domain decomposition methods are introduced. In all these methods, in each iteration, local nonlinear problems are solved on the subdomains. The new approaches can significantly reduce communication and show a significantly improved performance, especially for ...
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ژورنال
عنوان ژورنال: PAMM
سال: 2008
ISSN: 1617-7061
DOI: 10.1002/pamm.200810859