Results 71 to 80 of about 481 (184)
International Journal for Computational Civil and Structural Engineering, 2018 he distinctive paper is devoted to so-called multigrid (particularly two-grid) method of structural analysis based on discrete Haar basis (one-dimensional, two-dimensional and three-dimensional problems are under consideration).
Marina L. Mozgaleva +2 more
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A Framework for the Solution of Tree‐Coupled Saddle‐Point Systems
Numerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.ABSTRACT We consider the solution of saddle‐point systems with a tree‐based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then propose several structure‐exploiting preconditioners to be used during applications of the GMRES algorithm and analyze their properties.
Christoph Hansknecht +3 more
wiley +1 more source
Труды Института системного программирования РАН, 2018 The efficiency comparison of solvers for sparse linear algebraic equations systems based on one of the fastest iterative methods, the BiCGStab method (bi-conjugate gradient method with stabilization), and the FGMRES method (flexible method of generalized
I. K. Marchevsky, V. V. Puzikova
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A review of algebraic multigrid
Journal of Computational and Applied Mathematics, 2001 This paper (which seems to be a condensed version of the paper by the same author in the proceedings ``Multigrid'', Academic Press, N.Y., edited by U.\ Trottenberg et al. (2001; Zbl 0976.65106)) discusses and illustrates possibilities of algebraic multigrid algorithms for the solution of, e.g., heat conduction problems (with highly varying coefficients)
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Multilevel preconditioners for embedded enriched partition of unity approximations
Advanced Modeling and Simulation in Engineering Sciences, 2018 In this paper we are concerned with the non-invasive embedding of enriched partition of unity approximations in classical finite element simulations and the efficient solution of the resulting linear systems.
Marc Alexander Schweitzer +1 more
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ComputersThe structure and memory organization of graphics processor units (GPUs) manufactured by NVIDIA and the use of CUDA programming technology to solve computational fluid dynamics (CFD) problems is reviewed and discussed.
Redha Benhadj-Djilali +2 more
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A Theory of Relaxation-Based Algebraic Multigrid
CoRRAlgebraic multigrid (AMG) methods derive their optimal efficiency from the interplay between a relaxation process and a corresponding coarse grid correction. In many standard formulations, relaxation and coarse-graining are analyzed and treated as largely separate of one another.
Rayan Moussa, Karsten Kahl
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Notes on convergence of an algebraic multigrid method
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhaohui Huang, Peilin Shi
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Multilevel Space-Time Aggregation for Bright Field Cell Microscopy Segmentation and Tracking
International Journal of Biomedical Imaging, 2010 A multilevel aggregation method is applied to the problem of segmenting live cell bright field microscope images. The method employed is a variant of the so-called “Segmentation by Weighted Aggregation” technique, which itself is based on Algebraic ...
Tiffany Inglis +6 more
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Transactional Memory for Algebraic Multigrid Smoothers
, 2016 This paper extends our early investigations in which we compared transactional memory to traditional OpenMP synchronization mechanisms [7, 8]. We study similar issues for algebraic multigrid (AMG) smoothers in hypre [16], a mature and widely used production-quality linear solver library.
Barna L. Bihari +3 more
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