The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations

DOI10.1007/BF01930847zbMath0419.65065OpenAlexW2333099805MaRDI QIDQ3853079

Nikolaos M. Missirlis, David J. Evans

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01930847

zbMATH Keywords

boundary value problemssparse matrixfinite difference methodsnumerical solutionalternating direction methodelliptic partial differential and biharmonic equationssolution of large linear systems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (5)

The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations ⋮ A note on the simplification ofp-parametric E.A.D.I. schemes for elliptic problems of higher order ⋮ On the dynamic acceleration of the preconditioned simultaneous displacement (psd) method ⋮ The modified preconditioned simultaneous displacement (MPSD) method ⋮ A comparison of rates of convergence for the modified alternating direction preconditioning (MADP) method

Cites Work

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• Solving Laplace's equation in a rectangle by alternating direction implicit methods
• On comparing optimum alternating direction preconditioning and extrapolated alternating direction implicit schemes
• Une nouvelle méthode de directions alternees à q variables
• Relaxation bei komplexen Matrizen
• An Alternating Direction Method for Solving the Biharmonic Equation
• Alternating Direction Implicit Methods
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices

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