The ILU method for finite-element discretizations
DOI10.1016/0377-0427(91)90228-CzbMath0738.65084OpenAlexW2074674664MaRDI QIDQ1177224
Publication date: 26 June 1992
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(91)90228-c
eigenvalue problemsparse matricesnumerical stabilityaccelerationPoisson equationvectorizationmultigrid algorithmslinear finite elementincomplete LU decompositionsringwise numbering of grid pointsself-adaptive refinement
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (2)
Cites Work
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- The effect of ordering on preconditioned conjugate gradients
- Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions
- On the Robustness of ILU Smoothing
- An Incomplete Factorization Technique for Positive Definite Linear Systems
- Theoretical and Practical Aspects of a Multigrid Method
- An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
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