Analysis of matrix-dependent multigrid algorithms

Shapira, Yair

doi:10.1002/(sici)1099-1506(199805/06)5:3<165::aid-nla132>3.0.co;2-n

Numer. Linear Algebra Appl.

1998

DOI: 10.1002/(sici)1099-1506(199805/06)5:3<165::aid-nla132>3.0.co;2-n

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Analysis of matrix-dependent multigrid algorithms

Yair Shapira

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Cited by 6 publications

References 28 publications

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Preconditioning spectral element schemes for definite and indefinite problems

Shapira

Israeli

Sidi

et al. 1999

Numer. Methods Partial Differential Eq.

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Spectral element schemes for the solution of elliptic boundary value problems are considered. Preconditioning methods based on finite difference and finite element schemes are implemented. Numerical experiments show that inverting the preconditioner by a single multigrid iteration is most efficient and that the finite difference preconditioner is superior to the finite element one for both definite and indefinite problems. A multigrid preconditioner is also derived from the finite difference preconditioner and is found suitable for the CGS acceleration method. It is pointed out that, for the finite difference and finite element preconditioners, CGS does not always converge to the accurate algebraic solution.

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Preconditioning spectral element schemes for definite and indefinite problems

Shapira

Israeli

Sidi

et al. 1999

Numer. Methods Partial Differential Eq.

Self Cite

View full text Add to dashboard Cite

show abstract

Model case analysis of an algebraic multilevel method

Shapira

1999

Numer. Linear Algebra Appl.

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Multigrid algorithm from cyclic reduction for Markovian queueing networks

Yang

Cai

Sun

2011

Applied Mathematics and Computation

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Analysis of matrix-dependent multigrid algorithms

Cited by 6 publications

References 28 publications

Preconditioning spectral element schemes for definite and indefinite problems

Preconditioning spectral element schemes for definite and indefinite problems

Model case analysis of an algebraic multilevel method

Multigrid algorithm from cyclic reduction for Markovian queueing networks

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