Additive Schwarz algorithms for parabolic convection-diffusion equations.
Additive Schwarz methods for the p-version finite element method.
Advances techniques for the direct, numerical solution of Poisson's equation
Advancing analysis capabilities in ANSYS through solver technology.
Aggregation/disaggregation iterative methods applied to Leontev systems and Markov chains
The paper surveys some recent results on iterative aggregation/disaggregation methods (IAD) for computing stationary probability vectors of stochastic matrices and solutions of Leontev linear systems. A particular attention is paid to fast IAD methods.
Aggregation/disaggregation method for safety models
The paper concerns the possibilities for mathematical modelling of safety related systems (equipment oriented on safety). Some mathematical models have been required by the present European Standards for the railway transport. We are interested in the possibility of using Markov’s models to meet these Standards. In the text an example of using that method in the interlocking equipment life cycle is given. An efficient aggregation/disaggregation method for computing some characteristics of Markov...
Alcune osservazioni sul rango numerico per operatori non lineari
We discuss some numerical ranges for Lipschitz continuous nonlinear operators and their relations to spectral sets. In particular, we show that the spectrum defined by Kachurovskij (1969) for Lipschitz continuous operators is contained in the so-called polynomial hull of the numerical range introduced by Rhodius (1984).
Algebraic approach to domain decomposition
An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.
Algebraic Connections Between the Least Squares and Total Least Squares Problems.
Algebraic domain decomposition solver for linear elasticity
We generalize the overlapping Schwarz domain decomposition method to problems of linear elasticity. The convergence rate independent of the mesh size, coarse-space size, Korn’s constant and essential boundary conditions is proved here. Abstract convergence bounds developed here can be used for an analysis of the method applied to singular perturbations of other elliptic problems.
Algebraic matrix equations in systems theory
Algebraic Multi Level Preconditioning Methods. I.
Algebraic multigrid smoothing property of Kaczmarz's relaxation for general rectangular linear systems.
Algebraic preconditioning for Biot-Barenblatt poroelastic systems
Poroelastic systems describe fluid flow through porous medium coupled with deformation of the porous matrix. In this paper, the deformation is described by linear elasticity, the fluid flow is modelled as Darcy flow. The main focus is on the Biot-Barenblatt model with double porosity/double permeability flow, which distinguishes flow in two regions considered as continua. The main goal is in proposing block diagonal preconditionings to systems arising from the discretization of the Biot-Barenblatt...
Algebraic properties of the block GMRES and block Arnoldi methods.
Algebraic relations between the total least squares and least squares problems with more than one solution.
Algebraic theory of fast mixed-radix transforms. I. Generalized Kronecker product of matrices
Algebraic theory of fast mixed-radix transforms. II. Computational complexity and applications
Algorithm 29. Solving systems of linear equations by Sokolov's method
Algorithm 37. Solution of sparse linear equation systems