An aggregation-based algebraic multigrid method with deflation techniques and modified generic factored approximate sparse inverses

AA Natsiou, GA Gravvanis, CK Filelis-Papadopoulos… - Mathematics, 2023 - mdpi.com
In this paper, we examine deflation-based algebraic multigrid methods for solving large
systems of linear equations. Aggregation of the unknown terms is applied for coarsening …

On the numerical modeling of convection-diffusion problems by finite element multigrid preconditioning methods

CK Filelis-Papadopoulos, GA Gravvanis… - Advances in Engineering …, 2014 - Elsevier
During the last decades, multigrid methods have been extensively used in order to solve
large scale linear systems derived from the discretization of partial differential equations …

[PDF][PDF] On the multigrid method based on finite difference approximate inverses

CK Filelis-Papadopoulos… - Computer Modeling in …, 2013 - cdn.techscience.cn
During the last decades, multigrid methods have been extensively used in order to solve
large scale linear systems derived from the discretization of partial differential equations …

[PDF][PDF] Algebraic multigrid methods based on generic approximate banded inverse matrix techniques

GA Gravvanis, CK Filelis-Papadopoulos… - Comput Model Eng …, 2014 - cdn.techscience.cn
Since the introduction of the Algebraic MultiGrid algorithm (AMG) over twenty years ago,
significant progress has been made in improving the coarsening and the convergence …

Parallel multigrid algorithms based on generic approximate sparse inverses: an SMP approach

CK Filelis-Papadopoulos, GA Gravvanis - The Journal of Supercomputing, 2014 - Springer
New parallel computational techniques are introduced for the parallelization of Generic
Approximate Sparse Inverse multigrid methods, based on Portable Operating System …

N-body simulation based on the particle mesh method using multigrid schemes

PE Kyziropoulos… - 2013 Federated …, 2013 - ieeexplore.ieee.org
Through the last decades multigrid methods have been used extensively in the solution of
large sparse linear systems derived from the discretization of Partial Differential Equations in …

Parallel N‐Body Simulation Based on the PM and P3M Methods Using Multigrid Schemes in conjunction with Generic Approximate Sparse Inverses

PE Kyziropoulos… - Mathematical …, 2015 - Wiley Online Library
During the last decades, Multigrid methods have been extensively used for solving large
sparse linear systems. Considering their efficiency and the convergence behavior, Multigrid …

A parallel Self Mesh-Adaptive N-body method based on approximate inverses

PE Kyziropoulos, CK Filelis-Papadopoulos… - The Journal of …, 2017 - Springer
A new parallel Self Mesh-Adaptive N-body method based on approximate inverses is
proposed. The scheme is a three-dimensional Cartesian-based method that solves the …

On the multigrid cycle strategy with approximate inverse smoothing

G A. Gravvanis… - Engineering …, 2014 - emerald.com
Purpose–The purpose of this paper is to propose multigrid methods in conjunction with
explicit approximate inverses with various cycles strategies and comparison with the other …

Toward the design of a novel hybrid parallel N-body method in scope of modern cloud architectures

PE Kyziropoulos, CK Filelis-Papadopoulos… - The Journal of …, 2018 - Springer
A hybrid parallel self mesh-adaptive N-body method based on approximate inverses and
multiprojection techniques is proposed. This method is a three-dimensional hybrid parallel …