Normalized implicit preconditioned methods based on normalized finite element approximate factorization procedures

3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Volumn , Issue , 2005, Pages 1115-1119

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

^a DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

Author keywords

Conjugate gradient schemes; Finite element systems; Normalized approximate factorization procedures; Preconditioning; Rate of convergence and computational complexity

Indexed keywords

CONJUGATE GRADIENT SCHEMES; FINITE ELEMENT SYSTEM; NORMALIZED APPROXIMATE FACTORIZATION PROCEDURES; PRECONDITIONING; RATE OF CONVERGENCE;

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL FLUID DYNAMICS; FACTORIZATION; FINITE ELEMENT METHOD; LINEAR SYSTEMS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

CONJUGATE GRADIENT METHOD;

EID: 33645243630     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (5)

1. Lipitakis EA, Evans DJ. Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods. Comp Meth App Mech Eng 1984;43:1-19.
2. Gravvanis GA, Giannoutakis KM. On the rate of convergence and complexity of normalized implicit preconditioning for solving finite difference equations in three space variables. Int J Comput Meth 2004;1(2):367- 386.
3. Evans DJ, Lipitakis EA. A normalized implicit conjugate gradient method for the solution of large sparse systems of linear equations. Comp Meth Appl Mech Eng 1980;23:1- 19.
4. Lipitakis EA, Gravvanis GA. The convergence rate and complexity of preconditioned iterative methods based on approximate finite element matrix factorization. Bull Greek Math. Society 1992;33:11-23.
5. Notay Y. On the convergence rate of the conjugate gradients in presence of rounding errors. Numer Math 1993;65:301-317.