Note about the parallel projection method for solution of system of linear algebraic equations
Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM
This paper is concerned with the dual formulation of the interface problem consisting of a linear partial differential equation with variable coefficients in some bounded Lipschitz domain Ω in (n ≥ 2) and the Laplace equation with some radiation condition in the unbounded exterior domain Ωc:= . The two problems are coupled by transmission and Signorini contact conditions on the interface Γ = ∂Ω. The exterior part of the interface problem is rewritten using a Neumann to Dirichlet mapping (NtD)...
Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM*
This paper is concerned with the dual formulation of the interface problem consisting of a linear partial differential equation with variable coefficients in some bounded Lipschitz domain Ω in (n ≥ 2) and the Laplace equation with some radiation condition in the unbounded exterior domain Ωc := . The two problems are coupled by transmission and Signorini contact conditions on the interface Γ = ∂Ω. The exterior part of the interface problem is rewritten using a Neumann to Dirichlet mapping...
Numerical experiments with algebraic multilevel preconditioners.
Numerical experiments with parallel orderings for ILU preconditioners.
Numerical Iterative Filters Applied to First Kind Fredholm Integral Equations.
Numerical simulations of glacial rebound using preconditioned iterative solution methods
This paper discusses finite element discretization and preconditioning strategies for the iterative solution of nonsymmetric indefinite linear algebraic systems of equations arising in modelling of glacial rebound processes. Some numerical experiments for the purely elastic model setting are provided. Comparisons of the performance of the iterative solution method with a direct solution method are included as well.
Numerical Stability of Decent Methods for Solving Linear Equations.
Numerical Stability of the Chebyshev Method for the Solution of Large Linear Systems.
Numerical stability of the cyclic Richardson iteration.
Numerical study of two sparse AMG-methods
A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.
Numerical Study of Two Sparse AMG-methods
A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.
Oblique projection methods for linear systems with multiple right-hand sides.
Obtaining bounds on the two norm of a matrix from the splitting lemma.
On a Class of Chebyshev Approximation Problems Which Arise in Connection with a Conjugate Gradient Type Method.
On a class of matrices which arise in the numerical solution of Euler equations.
On a hierarchical basis multilevel method with nonconforming P1 elements.
On a method of D. Marsal for equations with positive operators
On a modified Kovarik algorithm for symmetric matrices.
On a multilevel Krylov method for the Helmholtz equation preconditioned by shifted Laplacian.