A study of the method of approximate factorization for solving grid elliptic boundary-value problems

DOI10.1007/BF01209557zbMath0813.65068OpenAlexW2043962906MaRDI QIDQ1337876

M. M. Makarov, A. B. Kucherov

Publication date: 16 November 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01209557

zbMATH Keywords

discontinuous coefficientspreconditioningcondition numberapproximate factorizationHelmholtz equationPoisson equationSPD matrix

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)

Cites Work

• Unnamed Item
• Lower eigenvalue bounds for pencils of matrices
• Approximate factorizations with S/P consistently ordered M-factors
• On modified incomplete cholesky factorization methods for the solution of problems with mixed boundary conditions and problems with discontinuous material conefficients
• Stability theory of difference schemes and iterative methods
• A class of first order factorization methods
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
• A generalized SSOR method

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