Using Symmetries and Antisymmetries to Analyze a Parallel Multigrid Algorithm: The Elliptic Boundary Value Problem Case

Symmetry and antisymmetry properties of a class of elliptic partial differential equations are exploited to prove when a particular parallel multilevel algorithm is a direct method rather than the usual iterative method. No smoothing is required for this result. Examples are presented, including var...

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Vydané v:	SIAM journal on numerical analysis Ročník 26; číslo 6; s. 1439 - 1461
Hlavní autori:	Douglas, Craig C., Smith, Barry F.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.12.1989
Predmet:	Algorithms Antisymmetry Applied mathematics Boundary value problems Data smoothing Decomposition Decomposition methods Exact sciences and technology Iterative methods Mathematics Multigrid methods Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Sciences and techniques of general use Symmetry Total costs Wall clocks Parallel algorithm Numerical analysis Elliptic equation Boundary value problem Multigrid Convergence rate Numerical convergence Partial differential equation
ISSN:	0036-1429, 1095-7170
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