Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems

 
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1993 (EN)
Accuracy and effectiveness of preconditioned conjugate gradient algorithms for large and ill-conditioned problems (EN)

Bitoulas, N (EN)
Papadrakakis, M (EN)

N/A (EN)

Different implementations of the preconditioned conjugate gradient method are presented for solving large and very ill-conditioned algebraic systems of equations resulting from the finite element method. A special implementation based on mixed precision calculations proved to be robust in performance and reliable in accuracy as well as storage effective. Additionally, a new type of iterative refinement scheme is introduced to improve the accuracy of direct methods based on conjugate gradient iterations; it is found to be a significant improvement on the standard iterative refinement approach. © 1993. (EN)

journalArticle

Finite element method (EN)
Ill-conditioned algebraic systems (EN)
Algebra (EN)
Algorithms (EN)
Preconditioned conjugate gradient algorithm (EN)
Characteristic equations (EN)
Iterative refinement scheme (EN)
Iterative methods (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Computer Methods in Applied Mechanics and Engineering (EN)

1993


ELSEVIER SCIENCE SA LAUSANNE (EN)



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