Results 1 to 10 of about 12,853 (184)
Research of the Algebraic Multigrid Method for Electron Optical Simulator [PDF]
Entropy, 2022 At present, electron optical simulator (EOS) takes a long time to solve linear FEM systems. The algebraic multigrid preconditioned conjugate gradient (AMGPCG) method can improve the efficiency of solving systems.
Zhi Wang +7 more
doaj +2 more sources
Multigrid waveform relaxation for the time-fractional heat equation [PDF]
, 2017 In this work, we propose an efficient and robust multigrid method for solving the time-fractional heat equation. Due to the nonlocal property of fractional differential operators, numerical methods usually generate systems of equations for which the ...
Gaspar, Francisco J., Rodrigo, Carmen
core +21 more sources
Generalizing reduction‐based algebraic multigrid
Numerical Linear Algebra with Applications, 2023 AbstractAlgebraic multigrid (AMG) methods are often robust and effective solvers for solving the large and sparse linear systems that arise from discretized PDEs and other problems, relying on heuristic graph algorithms to achieve their performance.
Tareq Zaman +5 more
openaire +3 more sources
XAMG: A library for solving linear systems with multiple right-hand side vectors
SoftwareX, 2021 This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes, but is not limited, to the solution of linear systems obtained from the discretization of ...
Boris Krasnopolsky, Alexey Medvedev
doaj +1 more source
Algebraic multigrid methods [PDF]
Acta Numerica, 2017 This paper provides an overview of AMG methods for solving large-scale systems of equations, such as those from discretizations of partial differential equations. AMG is often understood as the acronym of ‘algebraic multigrid’, but it can also be understood as ‘abstract multigrid’. Indeed, we demonstrate in this paper how and why an algebraic multigrid
Xu, Jinchao, Zikatanov, Ludmil
openaire +2 more sources
Nonsymmetric Reduction-Based Algebraic Multigrid [PDF]
SIAM Journal on Scientific Computing, 2019 Algebraic multigrid (AMG) is often an effective solver for symmetric positive definite (SPD) linear systems resulting from the discretization of general elliptic PDEs, or the spatial discretization of parabolic PDEs. However, convergence theory and most variations of AMG rely on $A$ being SPD.
Manteuffel, Thomas A. +3 more
openaire +4 more sources
Mathematics, 2023 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, while deflation techniques are proposed for improving the rate of convergence.
Anastasia A. Natsiou +3 more
doaj +1 more source
A New Semistructured Algebraic Multigrid Method
SIAM Journal on Scientific Computing, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paludetto Magri V. A. +2 more
openaire +2 more sources
3-D radiative transfer in large-eddy simulations – experiences coupling the TenStream solver to the UCLA-LES [PDF]
Geoscientific Model Development, 2016 The recently developed 3-D TenStream radiative transfer solver was integrated into the University of California, Los Angeles large-eddy simulation (UCLA-LES) cloud-resolving model.
F. Jakub, B. Mayer
doaj +1 more source
Surrogate modeling of fluid dynamics with a multigrid inspired neural network architecture
Machine Learning with Applications, 2021 Algebraic or geometric multigrid methods are commonly used in numerical solvers as they are a multi-resolution method able to handle problems with multiple scales.
Quang Tuyen Le, Chinchun Ooi
doaj +1 more source