On different finite element methods for approximating the gradient of the solution to the helmholtz equation
Abstract
We consider the numerical solution of the Helmholtz equation by different finite element methods. In particular, we are interested in finding an efficient method for approximating the gradient of the solution. We first approximate the gradient by the standard Ritz-Galerkin method. As a second method a two-stage method due to Aziz and Werschulz (1980) is presented. It is shown that this method gives the same accuracy in the computed gradient and in the computed solution also in the nonconforming case. Finally, a direct method with asymptotic error estimates is given. It turns out that the presented direct method is of lowest computational complexity. Test examples are presented to illustrate the accuracy of the methods.
Main Authors
Format
Articles
Journal article
Published
1984
Series
Publisher
North-Holland
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201902061432Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0045-7825
DOI
https://doi.org/10.1016/0045-7825(84)90022-7
Language
English
Published in
Computer Methods in Applied Mechanics and Engineering
Citation
- Haslinger, J., Neittaanmäki, P. (1984). On different finite element methods for approximating the gradient of the solution to the helmholtz equation. Computer Methods in Applied Mechanics and Engineering, 42 (2), 131-148. doi:10.1016/0045-7825(84)90022-7
License
Tietueessa on rajoitettuja tiedostoja. The material is available for reading at the archive workstation of the University of Jyväskylä Library.
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