Preconditioning conforming finite element methods for treating Dirichlet boundary conditions. II.
Preconditioning conforming finite element methods for treating Dirichlet boundary conditions. I.
Preconditioning discrete approximations of the Reissner-Mindlin plate model
Preconditioning eigensolvers – an Oxymoron?
Preconditioning Indefinite Discretization Matrices.
Preconditioning of conjugate gradients by multigrid solver
Solving a system of linear algebraic equations by the preconditioned conjugate gradient method requires to solve an auxiliary system of linear algebraic equations in each step. In this paper instead of solving the auxiliary system one iteration of the two level method for the original system is done.
Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems.
Preconditioning of two-by-two block matrix systems with square matrix blocks, with applications
Two-by-two block matrices of special form with square matrix blocks arise in important applications, such as in optimal control of partial differential equations and in high order time integration methods. Two solution methods involving very efficient preconditioned matrices, one based on a Schur complement reduction of the given system and one based on a transformation matrix with a perturbation of one of the given matrix blocks are presented. The first method involves an additional inner solution...
Preconditioning P1 nonconforming finite elements: condition numbers and singular value distributions.
Preconditioning strategies for 2D finite difference matrix sequences.
Preconditionings and Splittings for Rectangular Systems.
Prediction-correction Legendre spectral scheme for incompressible fluid flow
Prediction-correction legendre spectral scheme for incompressible fluid flow
The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.
Predictor-corrector methods for nonlinear Volterra integral equations of the second kind
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