Three-level extrapolated alternating direction implicit (E.A.D.I.) methods for the numerical solution of two-dimensional second order elliptic problems

DOI10.1016/0771-050X(79)90043-3zbMath0447.65060MaRDI QIDQ1146509

S. Galanis, George Avdelas, Apostolos Hadjidimos

Publication date: 1979

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemnumerical examplesPoisson's equationnorms of the error vectorthree-level extrapolated alternating direction implicit 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

Second order Chebyshev semi-iteration in connection with p-parametric E.A.D.I. schemes, Optimum second order stationary extrapolated iterative schemes

Cites Work

• Eigenvalue spectrum of some special matrices
• The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods
• Solving Laplace's equation in a rectangle by alternating direction implicit methods
• Analytical eigenvalue bounds for matrices arising when discretizing the self-adjoint second order elliptic partial differential equations
• Second-degree iterative methods for the solution of large linear systems
• Alternating Direction Implicit Methods
• On extrapolated alternating direction implicit (E.A.D.I.) methods of second order
• Tensor Product Analysis of Alternating Direction Implicit Methods
• An Alternating-Direction-Implicit Iteration Technique
• Extrapolated alternating direction implicit iterative methods
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