Results 141 to 150 of about 481 (184)
Thermovibrationally Driven Ring-Shaped Particle Accumulations in Corner-Heated Cavities with the D2h Symmetry. [PDF]
Micromachines (Basel)Santhosh BM, Lappa M.
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On Generalizing the Algebraic Multigrid Framework
SIAM Journal on Numerical Analysis, 2004The authors present a theory that generalizes the algebraic multigrid (AMG) framework to address even broader of problems . This paper will provide a guidance in the development of new AMG methods able to handle difficult problems such as Maxwell's equations. Starting by introducing two new measures in applying the relaxation methods for linear systems,
Robert D Falgout, Panayot S Vassilevski
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Efficient Algebraic Multigrid Algorithms and Their Convergence
SIAM Journal of Scientific Computing, 2002The authors present 8 new interpolation formulae for use in algebraic multigrid algorithms. For this aim, they separate suitably defined strongly and weakly connected unknowns and exploit Gauss-Seidel or Jacoby iteration-type ideas. In the scetch of a convergence theory, the authors refer strongly to earlier work by \textit{J. W.
Qianshun Chang
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SIAM Journal on Scientific Computing, 2006
Efficient numerical simulation of physical processes is constrained by our ability to solve the resulting linear systems, prompting substantial research into the development of multiscale iterative methods capable of solving these linear systems with an optimal amount of effort.
Marian Brezina +5 more
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Efficient numerical simulation of physical processes is constrained by our ability to solve the resulting linear systems, prompting substantial research into the development of multiscale iterative methods capable of solving these linear systems with an optimal amount of effort.
Marian Brezina +5 more
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On the Algebraic Multigrid Method
Journal of Computational Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Qianshun +2 more
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Robustness and Scalability of Algebraic Multigrid
SIAM Journal on Scientific Computing, 2000The performance of classical algebraic multigrid (AMG) on a variety of problems having regular structure is studied first to determine its robustness. Secondly, the performance of AMG on the same suite of problems but now with unstructured grids and/or irregular domains is considered. The algorithmic scalability of AMG is considered on several problems
Andrew J. Cleary +7 more
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A parallel algorithm for Algebraic MultiGrid
Proceedings of the 42nd annual Southeast regional conference, 2004The major portion of computing time in a computational fluid dynamic (CFD) flow solver is consumed by the solution of the linear equations, the use of an efficient matrix solver is critical to obtain high performance flow solver. Currently, Algebraic Multi-Grid (AMG) is recognized in CFD community as one of the best choices to achieve high efficiency ...
Xiang Zhao +2 more
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A supplementary strategy for coarsening in algebraic multigrid
Applied Mathematics and Computation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuai Ye +3 more
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Energy Optimization of Algebraic Multigrid Bases
Computing, 1999The authors propose a fast iterative method to optimize coarse basis functions in algebraic multigrid by minimizing the sum of their energies subject to the condition that linear combinations of the basis functions equal to the zero energy modes. Computational results are quite encouraging and will be applied to industrial use.
Jan Mandel, Marian Brezina, Petr Vanek
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