TY - JOUR
T1 - A Multilevel Method for Solving the Helmholtz Equation: The Analysis of the One-Dimensional Case
AU - S. Andouze, O. Goubet & P. Poullet
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 365
EP - 372
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/690.html
KW - hierarchical basis, indefinite problem, Helmholtz equation, iterative methods.
AB - <p style="text-align: justify;">In this paper we apply and discuss a multilevel method to solve a scattering problem.
The multilevel method belongs to the class of incremental unknowns method as in [10]; in this
work, the best performance was obtained with a coarsest grid having roughly two points per linear
wavelength. We analyze this method for a simple model problem following H. Yserentant [17]. In
this case, the main limitation to multilevel methods is closely linked to the indefiniteness of the
Helmholtz problem.</p>