Toward a general solution verification method for complex PDF problem with hands off coding

M. Garbey, C. Picard

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The goal of this paper is to present a versatile framework for the solution verification of complex partial differential equation problems. Our goal is to produce an a posteriori error estimate with no internal knowledge of the simulation code that computes the solution. Our method decomposes into an optimization procedure that reconstruct the best consistent solution from two or three coarse grid solutions and a perturbation technique that estimate the conditioning number of the problem. Because this procedure is cumbersome and may involve hundred of uncoupled small computations, we use distributed computing to compute the a posteriori error bound.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
Pages13683-13696
Number of pages14
Volume20
StatePublished - Jul 2 2007
Event45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
Duration: Jan 8 2007Jan 11 2007

Other

Other45th AIAA Aerospace Sciences Meeting 2007
CountryUnited States
CityReno, NV
Period1/8/071/11/07

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

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