MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements

DOI10.1016/j.cam.2008.08.033zbMath1160.65063OpenAlexW2074001879MaRDI QIDQ1008696

Svetozar Margenov, Nikola Kosturski

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.033

zbMATH Keywords

convergencenumerical experimentspreconditioningunstructured gridselliptic problemsparabolic problemsconjugate gradientconforming and non-conforming finite elementsMIC(0) factorization

Mathematics Subject Classification ID

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (2)

Positive Approximations of the Inverse of Fractional Powers of SPD M-Matrices ⋮ MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements

Uses Software

• Gmsh
• TetGen
• Netgen

Cites Work

• MIC(0) preconditioning of 3D FEM problems on unstructured grids: Conforming and non-conforming elements
• An incomplete factorization preconditioning method based on modification of element matrices
• Comparative Analysis of Mesh Generators and MIC(0) Preconditioning of FEM Elasticity Systems
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• Iterative Solution Methods
• Displacement decomposition—incomplete factorization preconditioning techniques for linear elasticity problems
• A locally DIV-free projection scheme for incompressible flows based on non-conforming finite elements

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