Results 1 to 10 of about 650,634 (220)
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
A New Semistructured Algebraic Multigrid Method
SIAM Journal on Scientific Computing, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Magri, R. Falgout, U. Yang
semanticscholar +3 more sources
Algebraic multigrid methods * [PDF]
Acta Numerica, 2016 This paper provides an overview of AMG methods for solving large-scale systems of equations, such as those from discretizations of partial differential equations.
Jinchao Xu, L. Zikatanov
semanticscholar +4 more sources
Three-precision algebraic multigrid on GPUs
Future Generation Computer Systems, 2023 Recent research has demonstrated that using low precision inside some levels of an algebraic multigrid (AMG) solver can improve performance without negatively impacting the AMG quality.
Y. M. Tsai, Natalie N. Beams, H. Anzt
semanticscholar +3 more sources
PyAMG: Algebraic Multigrid Solvers in Python
Journal of Open Source Software, 2022 where A is an n × n sparse matrix. Sparse linear systems arise in a range of problems in science, from fluid flows to solid mechanics to data analysis. While the direct solvers available in SciPy’s sparse linear algebra package (scipy.sparse.linalg) are ...
N. Bell, Luke N. Olson, J. Schroder
semanticscholar +2 more sources
Nonsymmetric Reduction-Based Algebraic Multigrid [PDF]
SIAM Journal on Scientific Computing, 2017 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.
T. Manteuffel +3 more
semanticscholar +5 more sources
An introduction to algebraic multigrid [PDF]
Computing in Science and Engineering, 2006 Algebraic multigrid (AMG) solves linear systems based on multigrid principles, but in a way that only depends on the coefficients in the underlying matrix. The author begins with a basic introduction to AMG methods, and then describes some more recent advances and theoretical ...
exaly +2 more sources
Convergence in Norm of Nonsymmetric Algebraic Multigrid [PDF]
SIAM Journal on Scientific Computing, 2018 Fast linear solvers and preconditioners are well developed for symmetric positive definite (SPD) matrices. Linear or near-linear complexity ("fast") algorithms have been developed for many systems of interest and, in many cases, theoretical results have ...
T. Manteuffel, B. Southworth
semanticscholar +4 more sources
Compatible Relaxation and Coarsening in Algebraic Multigrid [PDF]
SIAM Journal of Scientific Computing, 2010 We introduce a coarsening algorithm for algebraic multigrid (AMG) based on the concept of compatible relaxation (CR). The algorithm is significantly different from standard methods, most notably because it does not rely on any notion of strength of connection.
Robert D Falgout, James Brannick
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Least Angle Regression Coarsening in Bootstrap Algebraic Multigrid [PDF]
SIAM Journal of Scientific Computing, 2018 The bootstrap algebraic multigrid framework allows for the adaptive construction of algebraic multigrid methods in situations where geometric multigrid methods are not known or not available at all.
Karsten Kahl
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