A scalable FETI-DP algorithm for a coercive variational inequality

Authors:
Zdeněk Dostál;David Horák;Dan Stefanica
Affiliations:
FEI VŠB-Technical University Ostrava, CZ Ostrava, Czech Republic;FEI VŠB-Technical University Ostrava, CZ Ostrava, Czech Republic;Baruch College, City University of New York, NY
Venue:
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Year:
2005

Citing 13
Cited 1

An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems

SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Iterative solution methods

Iterative solution methods
Solving the Signorini problem on the basis of domain decomposition techniques

Computing
A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems

SIAM Journal on Numerical Analysis
Duality-based domain decomposition with natural coarse-space for variational inequalities0

Journal of Computational and Applied Mathematics
A Numerical Study of FETI Algorithms for Mortar Finite Element Methods

SIAM Journal on Scientific Computing
Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients

SIAM Journal on Numerical Analysis
Box Constrained Quadratic Programming with Proportioning and Projections

SIAM Journal on Optimization
Implementation of the fixed point method in contact problems with Coulomb friction based on a dual splitting type technique

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
FETI and FETI-DP Methods for Spectral and Mortar Spectral Elements: A Performance Comparison

Journal of Scientific Computing
Scalability and FETI based algorithm for large discretized variational inequalities

Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems

SIAM Journal on Scientific Computing
Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination

Computational Optimization and Applications

Minimizing quadratic functions subject to bound constraints with the rate of convergence and finite termination

Computational Optimization and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

For channel domains and plates the LBB constant and the corresponding eigenvalue problem of the Schur complement are investigated. Estimates for the first eigenvalue and the number of small eigenvalues are given. The numerical results confirm the theory. ...