ALGEBRAIC MULTIGRID PRECONDITIONER FOR SECOND ORDER FINITE ELEMENT APPROXIMATIONS IN RECTANGULAR DOMAINS I. TWO-LEVEL PRECONDITIONER

Yu. R. Hakopian; H. A. Hovhannisyan

doi:10.46991/PYSUA.2003.37.1.003

ALGEBRAIC MULTIGRID PRECONDITIONER FOR SECOND ORDER FINITE ELEMENT APPROXIMATIONS IN RECTANGULAR DOMAINS I. TWO-LEVEL PRECONDITIONER

Authors

Yu. R. Hakopian Chair of Mathematical Methods and Modeling, YSU, Armenia
H. A. Hovhannisyan Chair of Mathematical Methods and Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSUA.2003.37.1.003

Keywords:

multigrid preconditioner, stiffness matrices , elliptic boundary value problems

Abstract

The present paper, consisting of two parts, is devoted to constructing an algebraic multigrid preconditioner for stiffness matrices arising in second-order finite element approximation of elliptic boundary value problems. In the first part a two-level preconditioner, on the base of which the multigrid preconditioner will be constructed, is described.

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Published

2003-03-10

Issue

Vol. 37 No. 1 (200) (2003)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Hakopian, Y. R., & Hovhannisyan, H. A. (2003). ALGEBRAIC MULTIGRID PRECONDITIONER FOR SECOND ORDER FINITE ELEMENT APPROXIMATIONS IN RECTANGULAR DOMAINS I. TWO-LEVEL PRECONDITIONER. Proceedings of the YSU A: Physical and Mathematical Sciences, 37(1 (200), 3-13. https://doi.org/10.46991/PYSUA.2003.37.1.003