Robust Preconditioners for Saddle Point Problems
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
Block triangular preconditioners for symmetric saddle-point problems
Applied Numerical Mathematics - Numerical algorithms, parallelism and applications
Block Preconditioners for LDG Discretizations of Linear Incompressible Flow Problems
Journal of Scientific Computing
Block preconditioners for LDG discretizations of linear incompressible flow problems
Journal of Scientific Computing
Journal of Computational and Applied Mathematics
Positive stable block triangular preconditioners for symmetric saddle point problems
Applied Numerical Mathematics
Computational Optimization and Applications
Preconditioning and convergence in the right norm
International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
Parallel FEM Software for CFD Problems
Informatica
Preconditioning Saddle-Point Systems with Applications in Optimization
SIAM Journal on Scientific Computing
Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics
SIAM Journal on Scientific Computing
Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
SIAM Journal on Scientific Computing
Journal of Computational Physics
Indefinite block triangular preconditioner for symmetric saddle point problems
Calcolo: a quarterly on numerical analysis and theory of computation
Eigenvalue estimates of an indefinite block triangular preconditioner for saddle point problems
Journal of Computational and Applied Mathematics
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Block-triangular preconditioners for a class of saddle point problems with a penalty term are considered. An important example is the mixed formulation of the pure displacement problem in linear elasticity. It is shown that the spectrum of the preconditioned system is contained in a real, positive interval and that the interval bounds can be made independent of the discretization and penalty parameters. This fact is used to construct bounds of the convergence rate of the GMRES method with respect to an energy norm. Numerical results are given for GMRES and BI-CGSTAB.