Finite-element based sparse approximate inverses for block-factorized preconditioners
DOI10.1007/s10444-011-9176-5zbMath1230.65042OpenAlexW2004115860MaRDI QIDQ652579
Erik Bängtsson, Elisabeth Linnér, Maya G. Neytcheva
Publication date: 14 December 2011
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-011-9176-5
finite element methodnumerical examplespreconditioningelliptic problemsblock preconditionerselement-by-element techniquesparse approximate inverses
Computational methods for sparse matrices (65F50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Preconditioners for iterative methods (65F08)
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- Finite-element based sparse approximate inverses for block-factorized preconditioners
- Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
- Two simple derivations of universal bounds for the CBS inequality constant.
- Using approximate inverses in algebraic multilevel methods
- Approximate sparsity patterns for the inverse of a matrix and preconditioning
- Stabilization of algebraic multilevel iteration methods; additive methods
- A class of iterative methods for solving saddle point problems
- On element-by-element Schur complement approximations
- Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices
- Algebraic Multilevel Preconditioning Methods, II
- Algebraic multilevel preconditioning of finite element matrices using local Schur complements
- Numerical solution of saddle point problems
- Multilevel Block Factorization Preconditioners
- Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
- A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic Earth
- Realistic Eigenvalue Bounds for the Galerkin Mass Matrix
- The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices
- Approximate inverse preconditionings for sparse linear systems
- Factorized Sparse Approximate Inverse Preconditionings I. Theory
- On the Additive Version of the Algebraic Multilevel Iteration Method for Anisotropic Elliptic Problems
- Iterative Solution Methods
- Variable‐step multilevel preconditioning methods, I: Self‐adjoint and positive definite elliptic problems
- Parallel Preconditioning with Sparse Approximate Inverses
- Approximate Inverse Techniques for Block-Partitioned Matrices
- A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
- Sparse Approximate Inverse Smoother for Multigrid
- Matrix Renumbering ILU: An Effective Algebraic Multilevel ILU Preconditioner for Sparse Matrices
- Preconditioning and Two-Level Multigrid Methods of Arbitrary Degree of Approximation
- Algebraic Multilevel Methods and Sparse Approximate Inverses
- New convergence results and preconditioning strategies for the conjugate gradient method
- ARMS: an algebraic recursive multilevel solver for general sparse linear systems
- Robust parameter‐free algebraic multilevel preconditioning
- Preconditioning methods for linear systems arising in constrained optimization problems
- Multilevel ILU With Reorderings for Diagonal Dominance
- Notes on the Numerical Solution of the Biharmonic Equation
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