A second-order sparse factorization method for Poisson's equation with mixed boundary conditions

DOI10.1016/0377-0427(92)90011-LzbMath0765.65099OpenAlexW1977636952WikidataQ59318786 ScholiaQ59318786MaRDI QIDQ1208546

Werner Liniger, Farouk Odeh, Veikko Hara

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90011-l

zbMATH Keywords

algorithmconvergencePoisson's equationpreconditionertest problemspreconditioned conjugate gradientsfast solversecond-order sparse factorization method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• A quasi-direct fast Poisson solver for general regions
• Least-square acceleration of iterative methods for linear equations
• Second Order Strongly Implicit Symmetric Factorization Methods for the Solution of Elliptic Difference Equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods
• On the numerical treatment of singularities in solutions of laplace's equation
• Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
• A generalized SSOR method