Abstract: Multigrid method is widely used for computations of diffusion, fluid dynamics, etc. The parallel implementation of this method may be difficult, especially under conditions of rapid productivity growth and increasing complexity of supercomputer architectures. In order to achieve high performance the scalability requirement arises for running the computer code on parallel computers. Proposed algorithm represents an efficient parallel implementation of the multigrid method of R.P. Fedorenko and is intended for solving three-dimensional elliptic equations. It is considered the boundary value problems including semi-definite Neumann problem. Scalability to a large number of processors is provided by both computational intens...
We describe a parallel algorithm for the numerical computation of guaranteed bounds for solutions of...
Abstract: The multigrid algorithm for elliptic equations on curvilinear grids have been c...
In this thesis numerical methods for solving elliptic partial differential equations are developed. ...
Abstract: Parallel multigrid method for elliptic difference equations. Anisotropic diffusi...
Abstract: We present the difference method for elliptic equations appearing in connection ...
Abstract: We introduce an adaptive algebraic multigrid method (AMG) for numerical solution...
The multigrid algorithm is a fast and efficient (in fact provably optimal) method for solving a wide...
In the paper, the parallelization of multi-grid methods for solving second-order elliptic boundary v...
A parallel multigrid method for the resolution of elliptic partial differential equations has been i...
Through the work proposed in this document we expect to advance the forefront of large scale computa...
Summary. Multigrid methods are among the fastest numerical algorithms for the solution of large spar...
Multigrid methods are studied for solving elliptic partial differential equations. Focus is on paral...
Multigrid methods have been very active area of research since it was introduced in 1960’[19]. It is...
Abstract: Parallel solvers for three-dimensional parabolic equations are required for sca...
A robust solver for the elliptic grid generation equations is sought via a numerical study. The syst...
We describe a parallel algorithm for the numerical computation of guaranteed bounds for solutions of...
Abstract: The multigrid algorithm for elliptic equations on curvilinear grids have been c...
In this thesis numerical methods for solving elliptic partial differential equations are developed. ...
Abstract: Parallel multigrid method for elliptic difference equations. Anisotropic diffusi...
Abstract: We present the difference method for elliptic equations appearing in connection ...
Abstract: We introduce an adaptive algebraic multigrid method (AMG) for numerical solution...
The multigrid algorithm is a fast and efficient (in fact provably optimal) method for solving a wide...
In the paper, the parallelization of multi-grid methods for solving second-order elliptic boundary v...
A parallel multigrid method for the resolution of elliptic partial differential equations has been i...
Through the work proposed in this document we expect to advance the forefront of large scale computa...
Summary. Multigrid methods are among the fastest numerical algorithms for the solution of large spar...
Multigrid methods are studied for solving elliptic partial differential equations. Focus is on paral...
Multigrid methods have been very active area of research since it was introduced in 1960’[19]. It is...
Abstract: Parallel solvers for three-dimensional parabolic equations are required for sca...
A robust solver for the elliptic grid generation equations is sought via a numerical study. The syst...
We describe a parallel algorithm for the numerical computation of guaranteed bounds for solutions of...
Abstract: The multigrid algorithm for elliptic equations on curvilinear grids have been c...
In this thesis numerical methods for solving elliptic partial differential equations are developed. ...