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SIAM Journal on Scientific and Statistical Computing
Article . 1992 . Peer-reviewed
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An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems

An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems
Authors: Farhat, Charbel; Roux, Francois-Xavier;

An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems

Abstract

A domain decomposition algorithm is developed for the parallel finite element solution of elliptic partial differential equations. Lagrange multipliers are introduced to enforce compatibility at the interface. A conjugate projected gradient algorithm is developed for the solution of the coupled systems. It is suitable for parallel/vector computers with shared memory. The degree of parallelism is not limited by the bandwidth of the finite element system.

Keywords

parallel/vector computers with shared memory, Iterative numerical methods for linear systems, Multigrid methods; domain decomposition for boundary value problems involving PDEs, Lagrange multipliers, Boundary value problems for second-order elliptic equations, conjugate projected gradient algorithm, Parallel numerical computation, domain decomposition algorithm, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, parallel finite element solution

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
148
Top 10%
Top 1%
Top 10%
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