Premium
Finite difference solution of viscoelastic flows by preconditioned conjugate gradients
Author(s) -
Manero O.
Publication year - 1986
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690020406
Subject(s) - mathematics , discretization , conjugate gradient method , cholesky decomposition , generalization , conjugate , invertible matrix , partial differential equation , viscoelasticity , finite difference , flow (mathematics) , mathematical analysis , geometry , mathematical optimization , pure mathematics , physics , thermodynamics , eigenvalues and eigenvectors , quantum mechanics
Attention is given to preconditioned conjugate gradients in the solution of systems of partial differential equations which arise in flows of viscoelastic liquids simulated by rheological implicit models. Finite differences discretization is used together with a generalization of the incomplete Cholesky conjugate‐gradient method to include asymmetric nonsingular matrices, resulted from the discretization of the kinemetic fields and the pressure recovery problem in also considered in a two‐dimensional planar flow.