Block and full matrix ILU preconditioners for parallel finite element solvers

DOI10.1016/S0045-7825(01)00329-2zbMath0993.65126OpenAlexW2002765994MaRDI QIDQ1348285

Ø. Staff, S. O. Wille, Abimael Fernando Dourado Loula

Publication date: 15 May 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(01)00329-2

zbMATH Keywords

finite elementLaplace equationparallel processingILU preconditioningsnode ordering

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Parallel numerical computation (65Y05)

Related Items (3)

Efficient a priori pivoting schemes for a sparse direct Gaussian equation solver for the mixed finite element formulation of the Navier-Stokes equations ⋮ Parallel finite element simulations of incompressible viscous fluid flow by domain decomposition with Lagrange multipliers ⋮ FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002)

Uses Software

• CGS

Cites Work

• Generalized conjugate-gradient acceleration of nonsymmetrizable iterative methods
• Iterative local solvers for distributed Krylov-Schwarz method applied to convection-diffusion problems
• Unsymmetric conjugate gradient methods and sparse direct methods in finite element flow simulation
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• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• A structured tri-tree search method for generation of optimal unstructured finite element grids in two and three dimensions
• Parallel-vector computation with high-pelement-by-element methods
• An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2D and 3D Navier-Stokes equations
• Parallel fluid dynamics computations in aerospace applications
• Parallel finite element simulation of 3D incompressible flows: Fluid‐structure interactions
• Parallel performance and scalability for block preconditioned finite element (p) solution of viscous flow
• Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods
• A priori pivoting in incomplete Gaussian preconditioning for iterative solution of mixed finite-element formulation of the Navier-Stokes equations

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