Block SSOR preconditionings for high-order 3D FE systems. III: Incomplete BSSOR preconditionings based onp-partitionings

DOI<393::AID-NLA114>3.0.CO;2-R 10.1002/(SICI)1099-1506(199709/10)4:5<393::AID-NLA114>3.0.CO;2-RzbMath0891.65030OpenAlexW1996391577MaRDI QIDQ4383438

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Publication date: 1 April 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1506(199709/10)4:5<393::aid-nla114>3.0.co;2-r

zbMATH Keywords

finite elementshierarchical basessymmetric successive overrelaxationincomplete block SSOR preconditioning

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) 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)

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Cites Work

• Block SSOR preconditionings for high order 3D FE systems
• Regular incomplete factorizations of real positive definite matrices
• Multilevel solution method for the \(p\)-version of finite elements
• An iterative solver for \(p\)-version finite elements in three dimensions
• A Comparison of Domain Decomposition Techniques for Elliptic Partial Differential Equations and their Parallel Implementation
• On Eigenvalue Estimates for Block Incomplete Factorization Methods
• Diagonally compensated reduction and related preconditioning methods
• The Conjugate Gradient Method for Linear and Nonlinear Operator Equations