Constant wavefront iteration methods for nine- and 15-point difference matrices

DOI10.1007/BF02238300zbMath0727.65027OpenAlexW1538510001MaRDI QIDQ803721

Gunhild Lindskog, Owe Axelsson

Publication date: 1991

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238300

zbMATH Keywords

Laplace equationdifference matriceswavefrontssecond order elliptic problemspreconditioned iterative methods15-point difference methodsgeneralized SSOR methodsmesh-connected computer architectureswavefront methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

The stabilized \(V\)-cycle method

Cites Work

• On the updating and assembly of the Hessian matrix in finite element methods
• Vectorizable preconditioners for elliptic difference equations in three space dimensions
• Relaxation bei komplexen Matrizen
• On a class of preconditioned iterative methods on parallel computers
• ON ITERATIVE SOLUTION OF ELLIPTIC DIFFERENCE EQUATIONS ON A MESH-CONNECTED ARRAY OF PROCESSORS
• On Vectorizing Incomplete Factorization and SSOR Preconditioners
• Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods
• Bounds of Eigenvalues of Preconditioned Matrices
• A class of first order factorization methods
• A generalized SSOR method
• Monotonicity and Discretization Error Estimates
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