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On the pollution effect in FE solutions of the 3D-Helmholtz equation

โœ Scribed by K. Gerdes; F. Ihlenburg

Book ID
104268060
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
834 KB
Volume
170
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

Dedicated to Prof lvo Babugka on the occasion of his 70th birthday

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Influence of the pollution on the admiss
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The a posteriori error estimation in constitutive law has already been extensively developed and applied to "nite element solutions of structural analysis problems. The paper presents an extension of this estimator to problems governed by the Helmholtz equation (e.g. acoustic problems) that we have

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For high wave numbers, the Helmholtz equation su!ers the so-called &pollution e!ect'. This e!ect is directly related to the dispersion. A method to measure the dispersion on any numerical method related to the classical Galerkin FEM is presented. This method does not require to compute the numerical