Yu. R. Hakopian, H. A. Hovhannisyan, “Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. II. Multigrid preconditioner”, Proceedings of the YSU, Physical and Mathematical Sciences, 2003, no. 2, 18

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2003, Issue 2, Pages 18–24 (Mi uzeru519)

Mathematics

Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. II. Multigrid preconditioner

Yu. R. Hakopian, H. A. Hovhannisyan

Yerevan State University

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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 second part of the paper, being based on the two-level preconditioner described in the first part, the multigrid preconditioner is constructed. The multigrid preconditioner is proved to be spectrally equivalent to the initial stiffness matrix and its arithmetic cost is proportional to the dimensionality of the finest-grid algebraic problem.

Keywords: Elliptic boundary value problems, two-level preconditioner.

Received: 28.03.2002
Accepted: 03.06.2003

Document Type: Article

UDC: 519.6

Language: Russian

Citation: Yu. R. Hakopian, H. A. Hovhannisyan, “Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. II. Multigrid preconditioner”, Proceedings of the YSU, Physical and Mathematical Sciences, 2003, no. 2, 18–24

Citation in format AMSBIB

\Bibitem{HakHov03}

\by Yu.~R.~Hakopian, H.~A.~Hovhannisyan

\paper Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. II. Multigrid preconditioner

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2003

\issue 2

\pages 18--24

\mathnet{http://mi.mathnet.ru/uzeru519}

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https://www.mathnet.ru/eng/uzeru/y2003/i2/p18

Cycle of papers

Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. I. Two level preconditioner
Yu. R. Hakopian, H. A. Hovhannisyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2003:1, 3–13
Algebraic multilevel preconditioner for second order finite element approximation in rectangular domains. II. Multigrid preconditioner
Yu. R. Hakopian, H. A. Hovhannisyan
Proceedings of the YSU, Physical and Mathematical Sciences, 2003:2, 18–24

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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