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Explicit estimates on the torus for the sup-norm and the dissipative length scale of solutions of the Swift–Hohenberg Equation in one and two space dimensions

✍ Scribed by Bartuccelli, Michele V.


Book ID
123073943
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
270 KB
Volume
411
Category
Article
ISSN
0022-247X

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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