One successful approach in the design of solution methods for saddle-point problems requires the efficient solution of the associated Schur complement problem. In the case of problems arising from partial differential equations the factorization of the symbol of the operator can often suggest useful approximations for this problem. In this work we examine examples of preconditioners for regular elliptic systems of partial differential equations based on the Schur complement of the symbol of the operator and highlight the possibilities and some of the difficulties one may encounter with this approach
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddle-p...
P-version finite element method for the second order elliptic equation in an arbitrary suciently smo...
Spectral collocation approximations based on Legendre-Gauss-Lobatto (LGL) points for Helmholtz equat...
One successful approach in the design of solution methods for saddle-point problems requires the eff...
We present numerical methods for solving systems of linear equations originated from the discretisat...
Saddle point systems arise widely in optimization problems with constraints. The utility of Schur co...
Saddle point systems arise widely in optimization problems with constraints. The utility of Schur co...
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddlepo...
Abstract. Certain classes of nodal methods and mixed-hybrid nite element methods lead to equivalent,...
Abstract. For the iterative solution of the Schur complement system associated with the discretizati...
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddle-p...
For the iterative solution of the Schur complement system associated with the discretization of an e...
Preconditioning methods via approximate block factorization for block tridiagonal matrices are studi...
AbstractIf the stationary Navier–Stokes system or an implicit time discretization of the evolutionar...
AbstractDomain decomposition methods for the solution of partial differential equations are attracti...
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddle-p...
P-version finite element method for the second order elliptic equation in an arbitrary suciently smo...
Spectral collocation approximations based on Legendre-Gauss-Lobatto (LGL) points for Helmholtz equat...
One successful approach in the design of solution methods for saddle-point problems requires the eff...
We present numerical methods for solving systems of linear equations originated from the discretisat...
Saddle point systems arise widely in optimization problems with constraints. The utility of Schur co...
Saddle point systems arise widely in optimization problems with constraints. The utility of Schur co...
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddlepo...
Abstract. Certain classes of nodal methods and mixed-hybrid nite element methods lead to equivalent,...
Abstract. For the iterative solution of the Schur complement system associated with the discretizati...
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddle-p...
For the iterative solution of the Schur complement system associated with the discretization of an e...
Preconditioning methods via approximate block factorization for block tridiagonal matrices are studi...
AbstractIf the stationary Navier–Stokes system or an implicit time discretization of the evolutionar...
AbstractDomain decomposition methods for the solution of partial differential equations are attracti...
Several Schur complement-based preconditioners have been proposed for solving (generalized) saddle-p...
P-version finite element method for the second order elliptic equation in an arbitrary suciently smo...
Spectral collocation approximations based on Legendre-Gauss-Lobatto (LGL) points for Helmholtz equat...