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Domain Decomposition Methods

2002
Domain decomposition is a major focus of contemporary research in numerical analysis of partial differential equations. Among the reasons for considering domain decomposition are: parallel computing, modeling of different physical phenomena in different subregions and complicated geometries, and its solid and elegant theoretical foundation.
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Decomposition of domains

1992
The problem of decomposing domains into sensible factors is addressed and solved for the case of dI-domains. A decomposition theorem is proved which allows the represention of a large subclass of dI-domains in a product of flat domains. Direct product decompositions of Scott-domains are studied separately.
Achim Jung   +2 more
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Domain Decomposition Method

2002
The domain decomposition method for the solution of differential problems consists of dividing the computational domain into a set of subdomains in which the solution is calculated by taking into account some transmission conditions at the interfaces between the subdomains.
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A Mixed Domain Decomposition Approach

2009
This chapter is dedicated to Professor Pierre Ladevèze on the occasion of his 60th birthday. As two former students of Pierre Ladevèze, the authors have both had the opportunity to work with domain decomposition methods in their research and teaching activities. Pierre initiated a mixed domain decomposition method within the framework of the LArge Time
Champaney, Laurent, Dureisseix, David
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P -adic decompositions over domains

Archiv der Mathematik, 1998
Let \(R\) be a commutative domain with unity and \(Q\) its field of quotients. \(Q\) is considered as an \(R\)-module. \textit{E. Matlis} [Mem. Am. Math. Soc. 49 (1964; Zbl 0135.07801)] showed that all torsion \(R\)-modules admit primary decompositions if and only if \(R\) is an \(h\)-local domain.
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Domain decomposition methods

2014
In the previous chapters we have concentrated on the application and theory of spectral methods for problems in simple domains. There have been a number of recent developments on the use of spectral techniques in more general geometries. The basic idea has been to partition the complete domain of the problem into several subdomains.
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Domain Decomposition Techniques or Microelectronic Modeling

2008
This paper is meant to be the continuation of the previous work [1] where a coupled ODE/PDE method for the simulation of semiconductor devices was introduced. From a strictly mathematical viewpoint, analytical results on coupled PDE/ODE systems (as arising in integrated circuit simulation) can be found in [2].
ALI' G, CULPO M, MICHELETTI, STEFANO
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Domain Decomposition Methods

1994
Various iterative methods can be classified as domain decomposition methods. Although a prototype of this iteration due to H. A. Schwarz (Viertelsjahresschrift der Naturforschenden Gesellschaft in Zurich, Vol. 15, 1870) is already 120 years old, this class of algorithms has attracted the interest of numerical analysts only recently.
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Domain Decomposition

2015
Barry Smith, Xuemin Tu
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Domain Decomposition

2011
Babak Falsafi   +20 more
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