Algebraic approach to domain decomposition

Milan Práger

Banach Center Publications (1994)

  • Volume: 29, Issue: 1, page 207-214
  • ISSN: 0137-6934

Abstract

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An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.

How to cite

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Práger, Milan. "Algebraic approach to domain decomposition." Banach Center Publications 29.1 (1994): 207-214. <http://eudml.org/doc/262816>.

@article{Práger1994,
abstract = {An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.},
author = {Práger, Milan},
journal = {Banach Center Publications},
keywords = {block matrix; domain decomposition; iterative methods; numerical example},
language = {eng},
number = {1},
pages = {207-214},
title = {Algebraic approach to domain decomposition},
url = {http://eudml.org/doc/262816},
volume = {29},
year = {1994},
}

TY - JOUR
AU - Práger, Milan
TI - Algebraic approach to domain decomposition
JO - Banach Center Publications
PY - 1994
VL - 29
IS - 1
SP - 207
EP - 214
AB - An iterative procedure containing two parameters for solving linear algebraic systems originating from the domain decomposition technique is proposed. The optimization of the parameters is investigated. A numerical example is given as an illustration.
LA - eng
KW - block matrix; domain decomposition; iterative methods; numerical example
UR - http://eudml.org/doc/262816
ER -

References

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  1. [1] P. Bjørstad and O. Widlund, Iterative methods for the solution of elliptic problems on regions partitioned into substructures, SIAM J. Numer. Anal. 23 (1986), 1097-1120. Zbl0615.65113
  2. [2] J. Bramble, J. Pasciak and A. Schatz, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comp. 46 (1986), 361-369. Zbl0595.65111
  3. [3] T. Chan, R. Glowinski, G. A. Meurant, J. Périaux and O. Widlund (eds.), Domain Decomposition Methods, SIAM, Philadelphia 1989. 
  4. [4] R. Glowinski, G. H. Golub, G. A. Meurant and J. Périaux (eds.), First International Symposium on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia 1988. 
  5. [5] L. D. Marini and A. Quarteroni, A relaxation procedure for domain decomposition methods using finite elements, Numer. Math. 55 (1989), 575-598. Zbl0661.65111
  6. [6] M. Práger, An iterative method of alternating type for systems with special block matrices, Appl. Math. 36 (1991), 72-78. Zbl0732.65023

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