Smoothers, mesh dependent norms, interpolation and multigrid

New estimates for the nodal interpolation operator for the P 1 finite element are established with respect to mesh dependent norms that are defined in terms of the smoothers in multigrid algorithms. These estimates are useful in the additive approach to the convergence of V-cycle multigrid algorithm...

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Vydané v:	Applied numerical mathematics Ročník 43; číslo 1; s. 45 - 56
Hlavný autor:	Brenner, Susanne C.
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.10.2002 Elsevier
Predmet:	Damped Jacobi Exact sciences and technology Finite element Interpolation estimates Mathematics Mesh dependent norms Multigrid Numerical analysis Numerical analysis. Scientific computation Numerical approximation Partial differential equations, boundary value problems Richardson Sciences and techniques of general use Symmetric Gauss–Seidel Mesh dependent norms Richardson Multigrid Symmetric Gauss–Seidel Interpolation estimates Damped Jacobi Finite element Interpolation formula Convergence of numerical methods Estimate Smoothing methods Jacobi method Asymptotic behavior Algorithm Partial differential equation Numerical approximation Finite element method Elliptic equation Boundary value problem Symmetric model Mesh dependent norm Gauss Seidel method Richardson number
ISSN:	0168-9274, 1873-5460
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