On methods of incomplete LU decompositions for solving Poisson's equation in annular regions

DOI10.1016/0168-9274(91)90112-DzbMath0755.65035OpenAlexW2001877297MaRDI QIDQ1181552

Timothy N. Phillips

Publication date: 27 June 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90112-d

zbMATH Keywords

iterative methodsfinite differencecomplementationdeletionincomplete \(LU\) decompositionPoisson's equation in annular regionsself-adjoint elliptic partial equation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
• Algorithms for the solution of cyclic tridiagonal systems
• A class of first order factorization methods
• Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
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