Results 151 to 160 of about 481 (184)
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An Algebraic Multigrid Approach for Image Analysis
SIAM Journal on Scientific Computing, 2003Summary: We apply a new algebraic multigrid method for solving computer vision problems with constraints. As particular examples we solve the ``shape from photometric stereo'' and ``image binarization'' problems. A variational formulation is applied to the problem of shape reconstruction from three or more images of an object with the same viewing ...
Ron Kimmel, Irad Yavneh
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An Algebraic Multigrid Method for Linear Elasticity
SIAM Journal on Scientific Computing, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Griebel +2 more
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Algebraic analysis of multigrid algorithms
Numerical Linear Algebra with Applications, 1999This paper deals with the convergence rate of multilevel algorithms from an algebraic point of view. A detailed analysis of the constant in the strengthened Cauchy-Schwarz inequality between the coarse-grid space and a so-called complementary space is presented. Using generalized prewavelets, fast multilevel convergence is proved.
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An Algebraic Interpretation of Multigrid Methods
SIAM Journal on Numerical Analysis, 1982The main objective of this paper is to treat the correction cycle of multigrid as a Newton-like method and to analyze it together with relaxation via a natural decomposition of the grid function space. The purpose is to provide a simplified view of multigrid and motivate some general principles for algorithm design.
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Generalization of algebraic multiscale to algebraic multigrid
Computational Geosciences, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Silvia Ehrmann +2 more
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An Algebraic Multigrid Method for Oseen Problems [PDF]
SIAM Journal on Scientific ComputingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transition Of Algebraic Multiscale To Algebraic Multigrid
Proceedings, 2018Summary Algebraic Multiscale (AMS) is a recent development for the construction of efficient linear solvers in certain reservoir simulations. It employs analytical upscaling ideas to coarsen the respective linear system and provides a high amount of inherent parallelism. However, it has the drawback that it can currently only be applied to problems for
S. Ehrmann, S. Gries, M.A. Schweitzer
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2017
The efficient utilization of parallel computational capabilities of modern hardware architecture is a must in large scale industrial applications. In this paper we focus on the parallelization of algebraic multigrid (AMG) in general and identify the respective challenges imposed on any hierarchical iterative linear solver.
Hans-Joachim Plum +6 more
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The efficient utilization of parallel computational capabilities of modern hardware architecture is a must in large scale industrial applications. In this paper we focus on the parallelization of algebraic multigrid (AMG) in general and identify the respective challenges imposed on any hierarchical iterative linear solver.
Hans-Joachim Plum +6 more
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Algebraic multigrid method for queueing networks
International Journal of Computer Mathematics, 1999A modified algebraic multigrid (AMG) method for queueing networks is presented. The method keeps the singularity of queueing networks in the coarse grid by modifying the restriction operators. Numerical results demonstrate that this method is more efficient and robust than conventional AMG method.
Qianshun Chang, Shuqing Ma, Guangyao Lei
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Algebraic multigrid and algebraic multilevel methods: a theoretical comparison [PDF]
Numerical Linear Algebra with Applications, 2005 AbstractWe consider algebraic methods of the two‐level type for the iterative solution of large sparse linear systems. We assume that a fine/coarse partitioning and an algebraic interpolation have been defined in one way or another, and review different schemes that may be built with these ingredients.
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