@Article{IJNAM-8-3, author = {}, title = {A Multilevel Method for Solving the Helmholtz Equation: The Analysis of the One-Dimensional Case}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {3}, pages = {365--372}, abstract = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/2011-IJNAM-690}, url = {https://global-sci.com/article/83559/a-multilevel-method-for-solving-the-helmholtz-equation-the-analysis-of-the-one-dimensional-case} }