On equilibration and sparse factorization of matrices arising in finite element solutions of partial differential equations

DOI<11::AID-NUM2>3.0.CO;2-X 10.1002/(SICI)1098-2426(200001)16:1<11::AID-NUM2>3.0.CO;2-XzbMath0956.65018OpenAlexW2000303275MaRDI QIDQ4944253

A. M. Chapman, Valmor F. de Almeida, Jeffrey J. Derby

Publication date: 19 March 2000

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(200001)16:1<11::aid-num2>3.0.co;2-x

zbMATH Keywords

algorithmspreconditioningfinite elementscalingLU factorizationpivotinglarge sparse matricesmaterial processing systemsmatrix equilibrationsystems of nonlinear elliptic partial differential equations

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier--Stokes Equations ⋮ Enhancing Performance and Robustness of ILU Preconditioners by Blocking and Selective Transposition ⋮ SparSol: sparse linear systems solver ⋮ Scaling, reordering, and diagonal pivoting in ILU preconditionings

Uses Software

• KELLEY
• MA42

Cites Work

• Mixed and Hybrid Finite Element Methods
• Unnamed Item

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