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A residual a posteriori error estimator for the finite element solution of the Helmholtz equation

โœ Scribed by S. Irimie; Ph. Bouillard

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
370 KB
Volume
190
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

This paper suggests an expression of a residual-based a posteriori error estimation for a Galerkin ยฎnite element discretisation of the Helmholtz operator applied in acoustics. In the ยฎrst part, we summarise the ยฎnite element approach and the a priori estimates. The new residual estimator is then formulated, illustrated and tested on two one-dimensional model problems with closed form solution.

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