Domain decomposition techniques on non-matching grids provide a flexible and efficient tool for the numerical approximation of non linear multibody contact problems with friction.Generalized mortar methods based on Lagrange multipliers can be used to discretize contact problems. The resulting variational inequalities are defined on a discrete convex set.
The non-penetration condition is realized in terms of suitable weak integral conditions. Here, a priori error estimates will be considered as well as iterative solvers based on domain decomposition techniques. Different concepts as monotone multigrid methods, non linear Dirichlet-Neumann algorithms and FETI techniques will be discussed and analyzed.
Organizer: Barbara Wohlmuth
<wohlmuth@mathematik.uni-stuttgart.de>
Taoufik Sassi
Centre de Mathematique, INSA de Lyon
The minisymposium is held in 1 session.
Monday, July 21 16:00 - 18:05 Room 005
- Optimal Penalty and Scalable FETI Based Algorithms for Numerical Solution of Variational Inequalities
(TM050)
Download article as pdf-file, 0.1 MB
Zdenek Dostal
(Czech Republic)
; D. Horák
- A Mixed Finite Element Approximation of 3D Contact Problems with Given Friction: Approximation and the Numerical Realization
(TM132)
Taoufik Sassi
(France)
; Jaroslav Haslinger
- Fast Solving of Contact Problems on Complicated Geometries
(TM141)
Download article as pdf-file, 0.5 MB
Rolf Krause
(Germany)
; O. Sander
- Domain Decomposition Algorithms for Contact Problems
(TM128)
Taoufik Sassi
(France)
; Laurent Baillet; Guy Bayada; Jalila Sabil
- Monotone Element Agglomeration AMGe for Contact Problems
(TM144)
Panayot Vassilevski
(United States)
|
