A note on the simplification ofp-parametric E.A.D.I. schemes for elliptic problems of higher order

DOI10.1007/BF01933593zbMath0427.65071OpenAlexW2086659614MaRDI QIDQ3862998

Apostolos Hadjidimos

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01933593

zbMATH Keywords

convergence rateselliptic problemsextrapolated alternating direction implicit schemefirst order Chebyshev accelerationsecond order Chebyshev acceleration

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

On the optimization of a class of second order iterative schemes

Cites Work

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• Second order Chebyshev semi-iteration in connection with p-parametric E.A.D.I. schemes
• On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes
• On the general problem of formulation and optimization of a p-parametric extrapolated alternating direction implicit sheme
• Une nouvelle méthode de directions alternees à q variables
• The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods
• The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations