Domain Decomposition Algorithm for Computer Aided Design

Frédéric Hecht, Jacques-Louis Lions and Olivier Pironneau

A chapter in Applied Nonlinear Analysis, 2002, pp 185-198 from Springer

Abstract: Abstract We present a decomposition algorithm similar to Schwarz for the numerical solution of partial differential equations in complex domains. The method is well suited to domains described by Constructive Solid Geometry (CSG), i.e. by set operations on simple shapes, a data structure often used in image synthesis and Virtual Reality. This work extends the algorithms presented in [1], [2], [3] which were based on “virtual controls”, where as here compactness is used for convergence proofs.

Keywords: Partial differential equations; domain decomposition; virtual reality; finite element method; chimera (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_14

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DOI: 10.1007/0-306-47096-9_14

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