Total FETI for contact problems with additional nonlinearities

Applications of the FETI-DP-RBS-LNA Algorithm on Large Scale Problems with Localized Nonlinearities

1 Department of Mechanical and Nuclear Engineering, 307 Reber Building, Pennsylvania State University, University Park, PA 16802, USA. Tel:(814)8650059, Email:[email protected] 2 Department of Mechanical and Nuclear Engineering, 232 Reber Building, Pennsylvania State University, University Park, PA 16802, USA. Tel:(814)8637273, Fax:(814)8634848, Email:[email protected] 3 IBM T. J. Watson Research Cent...

The FETI Based Domain Decomposition Method for Solving 3D-Multibody Contact Problems with Coulomb Friction

The FETI method was proposed by Farhat and Roux [1992] for parallel solution of problems described by elliptic partial differential equations. The key idea is elimination of the primal variables so that the original problem is reduced to a small, relatively well conditioned quadratic programming problem in terms of the Lagrange multipliers. Then the iterative solver is used to compute the solut...

A Feti Solver for Corotational Nonlinear Problems

Dirichlet Problems with Asymmetric Nonlinearities

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...