Solving Laplace's equation in a rectangle by alternating direction implicit methods

DOI10.1016/0022-247X(74)90165-6zbMath0298.65072MaRDI QIDQ1214746

Kosman Iordanidis, Apostolos Hadjidimos

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Stationary biparametric ADI preconditioners for conjugate gradient methods ⋮ Optimal alternating direction implicit preconditioners for conjugate gradient methods ⋮ Three-level extrapolated alternating direction implicit (E.A.D.I.) methods for the numerical solution of two-dimensional second order elliptic problems ⋮ The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods ⋮ Bi-parameter incremental unknowns ADI iterative methods for elliptic problems ⋮ Second order Chebyshev semi-iteration in connection with p-parametric E.A.D.I. schemes ⋮ On improving the convergence rates of extrapolated alternating direction implicit schemes ⋮ The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations ⋮ 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

Cites Work

• 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
• Extrapolated alternating direction implicit iterative methods