Normalized finite element approximate inverse preconditioning for solving non-linear boundary value problems

Computational Fluid and Solid Mechanics 2003

Volumn , Issue , 2003, Pages 1958-1962

  Gravvanis, George A ^a   Giannoutakis, Konstantinos M ^a  

^a UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

Finite element method; Non linear systems; Normalized approximate factorization procedures; Normalized approximate inverse matrix techniques; Parallel iterative methods; Preconditioning

Indexed keywords

BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; ITERATIVE METHODS; LINEAR SYSTEMS; MATRIX ALGEBRA;

INNER OUTER ITERATIVE PROCEDURE; IRREGULAR STRUCTURES; NON-LINEAR FINITE ELEMENTS; NORMALIZED APPROXIMATE FACTORIZATION PROCEDURES; NORMALIZED APPROXIMATE INVERSE MATRIX TECHNIQUES; PARALLEL ITERATIVE METHODS; PRECONDITIONED CONJUGATE GRADIENT; PRECONDITIONING;

INVERSE PROBLEMS;

EID: 35048838249     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-008044046-0.50481-4     Document Type: Chapter

References (6)

1. Gravvanis GA Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. Int J Appl Math 2000, 2(11):1363-1378.
2. Gravvanis GA On the numerical modeling and solution of non-linear boundary value problems. Numerical Methods in Thermal Problems X 1997, 898-909. Pineridge Press. R.W. Lewis, J.T. Cross (Eds.).
3. Gravvanis GA The rate of convergence of explicit approximate inverse preconditioning. Int J Comput Math 1996, 60:77-89.
4. Gravvanis GA, Giannoutakis KM Normalized Explicit finite element approximate inverses. Int J Differential Equations Applications 2003, 6(3):253-267.
5. Lipitakis EA, Evans DJ Solving linear finite element systems by normalized approximate matrix factorization semidirect methods. Comput Methods Appl Mech Engrg 1984, 43:1-19.
6. Lipitakis EA, Evans DJ Normalized implicit methods for the solution of non-linear elliptic boundary value problems. Comp Math Appl 1981, 7(6):553-562.