Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves
Gary Cohen 1, Sebastien Imperiale 1*1 INRIA, Domaine de Voluceau, Rocquencourt-BP 105, 78153 Le Chesnay Cedex, France.
Received 20 November 2009; Accepted (in revised version) 26 November 2010
Available online 24 October 2011
After setting a mixed formulation for the propagation of linearized water waves problem, we define its spectral element approximation. Then, in order to take into account unbounded domains, we construct absorbing perfectly matched layer for the problem. We approximate these perfectly matched layer by mixed spectral elements and show their stability using the "frozen coefficient" technique. Finally, numerical results will prove the efficiency of the perfectly matched layer compared to classical absorbing boundary conditions.AMS subject classifications: 35J05
PACS: 41.20.cv, 43.20.Hq
Key words: Linearized water waves, perfectly matched layer, mixed finite elements.
Email: firstname.lastname@example.org (G. Cohen), email@example.com (S. Imperiale)