This paper considers several algorithms for parallelizing the procedure of forward and back substitution for high-order symmetric sparse matrices on multi-core computers with shared memory. It compares the proposed approaches for various finite-element problems of structural mechanics which generate sparse matrices of different structure
Nous nous intéressons à la résolution de systèmes linéaires creux de très grande taille par des méth...
We consider the solution of very large systems of linear equations with direct multifrontal methods....
AbstractWe discuss some aspects of implementing the finite-element method on parallel computers with...
A few parallel algorithms for solving triangular systems resulting from parallel factorization of sp...
In Part I of this this paper, we proposed a new parallel bidirectional algorithm, based on Cholesky...
Solution of sparse triangular systems of linear equations is a performance bottleneck in many method...
We consider several issues involved in the solution of sparse symmetric positive definite system b...
In this paper, we are concerned about computing in parallel several entries of the inverse of a larg...
The paper deals with parallel approach for the numerical solution of large, sparse, non-symmetric sy...
AbstractCoarse grain parallel codes for solving sparse systems of linear algebraic equations can be ...
This book is primarily intended as a research monograph that could also be used in graduate courses ...
Key words: finite element method, multifrontal solver, load balancing We work on direct methods to s...
As sequential computers seem to be approaching their limits in CPU speed there is increasing intere...
International audienceIn this paper, we consider the computation in parallel of several entries of t...
We review current methods for preconditioning systems of equations for their solution using iterativ...
Nous nous intéressons à la résolution de systèmes linéaires creux de très grande taille par des méth...
We consider the solution of very large systems of linear equations with direct multifrontal methods....
AbstractWe discuss some aspects of implementing the finite-element method on parallel computers with...
A few parallel algorithms for solving triangular systems resulting from parallel factorization of sp...
In Part I of this this paper, we proposed a new parallel bidirectional algorithm, based on Cholesky...
Solution of sparse triangular systems of linear equations is a performance bottleneck in many method...
We consider several issues involved in the solution of sparse symmetric positive definite system b...
In this paper, we are concerned about computing in parallel several entries of the inverse of a larg...
The paper deals with parallel approach for the numerical solution of large, sparse, non-symmetric sy...
AbstractCoarse grain parallel codes for solving sparse systems of linear algebraic equations can be ...
This book is primarily intended as a research monograph that could also be used in graduate courses ...
Key words: finite element method, multifrontal solver, load balancing We work on direct methods to s...
As sequential computers seem to be approaching their limits in CPU speed there is increasing intere...
International audienceIn this paper, we consider the computation in parallel of several entries of t...
We review current methods for preconditioning systems of equations for their solution using iterativ...
Nous nous intéressons à la résolution de systèmes linéaires creux de très grande taille par des méth...
We consider the solution of very large systems of linear equations with direct multifrontal methods....
AbstractWe discuss some aspects of implementing the finite-element method on parallel computers with...