TY - JOUR
T1 - Perfectly Matched Layer with Mixed Spectral Elements for the Propagation of Linearized Water Waves
AU - Gary Cohen & Sébastien Imperiale
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 - <p style="text-align: justify;">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 &quot;frozen coefficient&quot; technique. Finally, numerical results will prove the efficiency of the perfectly matched layer compared to classical absorbing boundary conditions.&nbsp;</p>