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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

✍ Scribed by Babuška, Ivo M. ;Sauter, Stefan A.

Book ID
120220608
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
348 KB
Volume
34
Category
Article
ISSN
0036-1429

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Dispersion and pollution of the FEM solu
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✍ Arnaud Deraemaeker; Ivo Babuška; Philippe Bouillard 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 305 KB 👁 2 views

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