Results 241 to 250 of about 2,458,322 (294)

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.
Jung, Achim   +2 more
openaire   +3 more sources

Domain Decomposition Techniques

2006
We introduce some parallel domain decomposition preconditioners for iterative solution of sparse linear systems like those arising from the approximation of partial differential equations by finite elements or finite volumes. We first give an overview of algebraic domain decomposition techniques. We then introduce a preconditioner based on a multilevel
FORMAGGIA, LUCA   +2 more
openaire   +2 more sources

Domain decomposition method (DDM)

2023
This chapter concerns the use of domain decomposition (DD) methods for the surface integral equation (SIE)-based solution of time-harmonic electromagnetic wave problems. DD methods have attracted significant attention for solving partial differential equations.
Martin, Victor F.   +4 more
openaire   +2 more sources

Extremal Decomposition of Spatial Domains

Journal of Mathematical Sciences, 2001
The authors extend classical results by Lavrent'ev and others on the product of the conformal radii of planar nonoverlapping domains to the space \({\mathbb R}^{n}\). Instead of the conformal radius a harmonic radius is considered. The reduced module with respect to a system of points is introduced by a generalized capacity.
Dubinin, V. N., Prilepkina, E. G.
openaire   +1 more source

A Domain Decomposition Approach to POD

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
The proper orthogonal decomposition (POD) is a popular approach for building reduced-order models for nonlinear distributed parameter systems. The approach is based on developing a reduced basis by post-processing one, and often multiple, high fidelity simulations of a nonlinear partial differential equation.
Christopher A. Beattie   +3 more
openaire   +1 more source

PROJECTION DOMAIN DECOMPOSITION METHOD

Mathematical Models and Methods in Applied Sciences, 1994
A domain decomposition method using the projection approach is considered. The original elliptic problem is transformed to a set of analogous problems in subdomains and an abstract equation on the interface between subdomains, the latter being solved using Galerkin projection method with some special basis functions defined on the interface.
Agoshkov, V. I., Ovchinnikov, E.
openaire   +2 more sources

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