Volume 11, Issue 2
Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves

Gary Cohen & Sébastien Imperiale

Commun. Comput. Phys., 11 (2012), pp. 285-302.

Published online: 2012-12

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  • Abstract

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. 

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@Article{CiCP-11-285, author = {}, title = {Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {285--302}, abstract = {

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. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.201109.261110s}, url = {http://global-sci.org/intro/article_detail/cicp/7362.html} }
TY - JOUR T1 - Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves JO - Communications in Computational Physics VL - 2 SP - 285 EP - 302 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.201109.261110s UR - https://global-sci.org/intro/article_detail/cicp/7362.html KW - AB -

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. 

Gary Cohen & Sébastien Imperiale. (2020). Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves. Communications in Computational Physics. 11 (2). 285-302. doi:10.4208/cicp.201109.261110s
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