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Domain Decomposition Methods and Preconditioning. / Korneev, V.; Langer, U.

Encyclopedia of Computational Mechanics. Wiley-Blackwell, 2004. p. 617 -- 647.

Research output: Chapter in Book/Report/Conference proceeding › Entry for encyclopedia/dictionary › Research

Harvard

Korneev, V & Langer, U 2004, Domain Decomposition Methods and Preconditioning. in Encyclopedia of Computational Mechanics. Wiley-Blackwell, pp. 617 -- 647. <http://www.wiley.com/legacy/wileychi/ecm/editors.html>

APA

Korneev, V., & Langer, U. (2004). Domain Decomposition Methods and Preconditioning. In Encyclopedia of Computational Mechanics (pp. 617 -- 647). Wiley-Blackwell. http://www.wiley.com/legacy/wileychi/ecm/editors.html

Vancouver

Korneev V, Langer U. Domain Decomposition Methods and Preconditioning. In Encyclopedia of Computational Mechanics. Wiley-Blackwell. 2004. p. 617 -- 647

Author

Korneev, V. ; Langer, U. / Domain Decomposition Methods and Preconditioning. Encyclopedia of Computational Mechanics. Wiley-Blackwell, 2004. pp. 617 -- 647

BibTeX

@inbook{356d6a198a114a8b838cc5b2b6e83cd2,
title = "Domain Decomposition Methods and Preconditioning",
abstract = "Domain decomposition methods nowadays provide powerful tools for constructing efficient parallel solvers for large scale systems of algebraic equations arising from the discretization of partial differential equations. The classical alternating Schwarz method and the classical substructuring technique have led to advanced overlapping and non-overlapping domain decomposition solvers (preconditioners) which can be analyzed from a unified point of view now called Schwarz theory. This survey article starts with a brief historical overview, provides the basic results of the Schwarz theory, shortly looks at some overlapping domain decompostion methods (preconditioners), and discusses more extensively different non-overlapping domain decompostion techniques.",
keywords = "Domain decomposition, Schwarz theory, preconditioning, overlapping domain decomposition, non-overlapping domain decomposition, iterative substructuring, Neumann-Neumann, FETI",
author = "V. Korneev and U. Langer",
year = "2004",
language = "English",
isbn = "ISBN-10: 0470846992 , ISBN-13: 978-0470846995",
pages = "617 ---- 647",
booktitle = "Encyclopedia of Computational Mechanics",
publisher = "Wiley-Blackwell",
address = "United States",

}

RIS

TY - CHAP

T1 - Domain Decomposition Methods and Preconditioning

AU - Korneev, V.

AU - Langer, U.

PY - 2004

Y1 - 2004

N2 - Domain decomposition methods nowadays provide powerful tools for constructing efficient parallel solvers for large scale systems of algebraic equations arising from the discretization of partial differential equations. The classical alternating Schwarz method and the classical substructuring technique have led to advanced overlapping and non-overlapping domain decomposition solvers (preconditioners) which can be analyzed from a unified point of view now called Schwarz theory. This survey article starts with a brief historical overview, provides the basic results of the Schwarz theory, shortly looks at some overlapping domain decompostion methods (preconditioners), and discusses more extensively different non-overlapping domain decompostion techniques.

AB - Domain decomposition methods nowadays provide powerful tools for constructing efficient parallel solvers for large scale systems of algebraic equations arising from the discretization of partial differential equations. The classical alternating Schwarz method and the classical substructuring technique have led to advanced overlapping and non-overlapping domain decomposition solvers (preconditioners) which can be analyzed from a unified point of view now called Schwarz theory. This survey article starts with a brief historical overview, provides the basic results of the Schwarz theory, shortly looks at some overlapping domain decompostion methods (preconditioners), and discusses more extensively different non-overlapping domain decompostion techniques.

KW - Domain decomposition

KW - Schwarz theory

KW - preconditioning

KW - overlapping domain decomposition

KW - non-overlapping domain decomposition

KW - iterative substructuring

KW - Neumann-Neumann

KW - FETI

M3 - Entry for encyclopedia/dictionary

SN - ISBN-10: 0470846992 , ISBN-13: 978-0470846995

SP - 617

EP - 647

BT - Encyclopedia of Computational Mechanics

PB - Wiley-Blackwell

ER -

ID: 4586814