Coloring update methods

Shapira, Yair

doi:10.1007/bf02510923

Cited by 5 publications

(6 citation statements)

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“…The RB smoother is used in V(0,l) or V(1,l)-cycles. (12) and (14) are used. The second level equation is solved with six orders of magnitude accuracy.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Finally we consider four-level implementations for the slightly indefinite equation (24) with Dirichlet boundary conditions. The RB smoother is used for AutoMUG and a four-color Gauss-Seidel smoother (El] and Method A in [12]) is used for the other methods. ABOX is implemented with (14).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In the remainder of this paper we consider the implementation (12). Note that for this approach one may substitute (in this order).…”

Section: Obtains the Formmentioning

confidence: 99%

“…with a uniform N x N grid and the usual five-coefficient second order discretization. The red-black Gauss-Seidel (RB) smoother, (12), (14), V I = v2 = 1 and N = 63 are used. It is well-known that for anisotropic problems RB is not an appropriate smoother for single coarse grid correction algorithms.…”

Section: Applicationsmentioning

confidence: 99%

“…The coarse grids consist of even numbered points of the next finer grid (as defined in Section 1.2); this implementation is used throughout the paper, except for certain results in Table 2.1. A four-color Gauss-Seidel smoother ([l] and Method A in [12]) is used in a V(1,l) multigrid cycle. The convergence factor (cf) is defined in (26).…”

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confidence: 99%

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Black box multigrid solver for definite and indefinite problems

Shapira¹

1997

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DISCLAIMERThis report was prepared as an account of work sponsored by an agency of the United States Government Neither the United States Government nor any agency thereof, For any of their employees, make any warranty, express or implied, or assumes any leg& Eability or respomibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disdased, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommeodation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.

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“…The RB smoother is used in V(0,l) or V(1,l)-cycles. (12) and (14) are used. The second level equation is solved with six orders of magnitude accuracy.…”

Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

“…In the remainder of this paper we consider the implementation (12). Note that for this approach one may substitute (in this order).…”

Section: Obtains the Formmentioning

confidence: 99%

Section: Applicationsmentioning

confidence: 99%

mentioning

confidence: 99%

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