Numerical comparison of preconditionings for large sparse finite element problems

DOI10.1002/num.1690040204zbMath0618.65095OpenAlexW2140948828MaRDI QIDQ4728160

Giovanni Zilli, Giuseppe Gambolati, Giorgio Pini

Publication date: 1988

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690040204

zbMATH Keywords

efficiencypreconditioningfinite elementnumerical comparisonincomplete Cholesky factorizationsparsity patternmodified conjugate gradients

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) 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)

Related Items (9)

LEFTMOST EIGENVALUE OF REAL AND COMPLEX SPARSE MATRICES ON PARALLEL COMPUTER USING APPROXIMATE INVERSE PRECONDITIONING ⋮ Accelerated simultaneous iterations for large finite element eigenproblems ⋮ On vectorizing the preconditioned generalized conjugate residual methods ⋮ Computation of minimum eigenvalue through minimization of rayleigh's quotient for large sparse matrices using vector computer: ⋮ Iterative methods for solving sparse linear systems with a parallel preconditioner ⋮ Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives ⋮ Polynomial preconditioning on vector computers ⋮ Conjugate gradient solution of finite element equations on the IBM 3090 vector computer utilizing polynomial preconditionings ⋮ A new preconditioning technique for solving large sparse linear systems

Cites Work

• An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices
• Incomplete factorization for finite element methods

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