We develop new multigrid methods for a class of saddle point problems that include the Stokes system in fluid flow and the Lamé system in linear elasticity as special cases. The new smoothers in the multigrid methods involve optimal preconditioners for the discrete Laplace operator. We prove uniform convergence of the W-cycle algorithm in the energy norm and present numerical results for W-cycle and V-cycle algorithms
Three solvers for saddle point problems arising from the linearization and discretization of the ste...
Three solvers for saddle point problems arising from the linearization and discretization of the ste...
We consider a generalized Stokes equation with problem parameters ξ ≥ 0 (size of the reaction term) ...
The first order condition of the constrained minimization problem leads to a saddle point problem. A...
Standard discretizations of Stokes problems lead to linear systems of equations in saddle point form...
We develop and analyze multigrid methods for the Oseen system in fluid flow. We show that the W-cycl...
Abstract This paper investigates a multigrid method for the solution of the saddle point formulation...
We develop multigrid methods for an elliptic distributed optimal control problem on convex domains t...
A distributive Gauss-Seidel relaxation based on the least squares commutator is devised for the sadd...
An optimal-order W-cycle multigrid method for solving the stationary Stokes equations is developed, ...
Introduction. We present some numerical results for the influence of grid renumbering strategies on...
Transforming smoothers are known as a successful approach to the multigrid treatment of saddlepoint ...
In this thesis, we consider the numerical solution of four kinds of linear systems: saddle-point pro...
A multigrid solver is defined as having textbook multigrid efficiency (TME) if the solutions to the ...
In this thesis, we consider the numerical solution of four kinds of linear systems: saddle-point pro...
Three solvers for saddle point problems arising from the linearization and discretization of the ste...
Three solvers for saddle point problems arising from the linearization and discretization of the ste...
We consider a generalized Stokes equation with problem parameters ξ ≥ 0 (size of the reaction term) ...
The first order condition of the constrained minimization problem leads to a saddle point problem. A...
Standard discretizations of Stokes problems lead to linear systems of equations in saddle point form...
We develop and analyze multigrid methods for the Oseen system in fluid flow. We show that the W-cycl...
Abstract This paper investigates a multigrid method for the solution of the saddle point formulation...
We develop multigrid methods for an elliptic distributed optimal control problem on convex domains t...
A distributive Gauss-Seidel relaxation based on the least squares commutator is devised for the sadd...
An optimal-order W-cycle multigrid method for solving the stationary Stokes equations is developed, ...
Introduction. We present some numerical results for the influence of grid renumbering strategies on...
Transforming smoothers are known as a successful approach to the multigrid treatment of saddlepoint ...
In this thesis, we consider the numerical solution of four kinds of linear systems: saddle-point pro...
A multigrid solver is defined as having textbook multigrid efficiency (TME) if the solutions to the ...
In this thesis, we consider the numerical solution of four kinds of linear systems: saddle-point pro...
Three solvers for saddle point problems arising from the linearization and discretization of the ste...
Three solvers for saddle point problems arising from the linearization and discretization of the ste...
We consider a generalized Stokes equation with problem parameters ξ ≥ 0 (size of the reaction term) ...