Mapping LSE method on a grid. Software architecture and performance gains

Christophe Picard, Marc Garbey, Venkat Subramaniam

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Scopus citations


The chapter explores how least square extrapolation (LSE) can perform on a commercial code, without having any knowledge on the source code. It emphasizes this approach by using a basic network of workstation to compute the weighted solutions and then solves the minimization problem over the produce results. In computational fluid dynamics (CFD), a Posteriori error estimators are widely produced using Richardson extrapolation (RE) and variations of it. All these methods rely on the a priori existence of an asymptotic expansion of the error-such as a Taylor formula-and make no direct use of the PDE formulation. As a consequence, RE methods are extremely simple to implement. But in practice, meshes might not be fine enough to satisfy accurately the a priori convergence estimates that are asymptotic in nature. RE is unreliable or fairly unstable and sensitive to noisy data.

Original languageEnglish (US)
Title of host publicationParallel Computational Fluid Dynamics 2005
Number of pages8
ISBN (Print)9780444522061
StatePublished - Dec 1 2006

ASJC Scopus subject areas

  • Chemical Engineering(all)


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