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A posteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error

✍ Scribed by I. Babuška; F. Ihlenburg; T. Strouboulis; S. K. Gangaraj

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
319 KB
Volume
40
Category
Article
ISSN
0029-5981

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✦ Synopsis

In part I of this investigation, we proved that the standard a posteriori estimates, based only on local computations, may severely underestimate the exact error for the classes of wave-numbers and the types of meshes employed in engineering analyses. We showed that this is due to the fact that the local estimators do not measure the pollution effect inherent to the FE-solutions of Helmholtz' equation with large wavenumber. Here, we construct a posteriori estimates of the pollution error. We demonstrate that these estimates are reliable and can be used to correct the standard a posteriori error estimates in any patch of elements of interest.

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