Print Email Facebook Twitter A preconditioner for the Helmholtz equation with perfectly matched layer Part of: ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics· list the conference papers Title A preconditioner for the Helmholtz equation with perfectly matched layer Author Erlangga, Y.A. Date 2006-09-05 Abstract This paper discusses an iterative method for solving the Helmholtz equation with the perfectly matched layer (PML). The method consists of an outer and inner iteration process. The inner iteration is used to approximately solve a preconditioner, which in this case is based on a modified PML equation. The outer iteration is a Krylov subspace method (Bi-CGSTAB). The method explained here is identical with the method already discussed and proposed, e.g., in [Erlangga, Oosterlee, Vuik, SIAM J. Sci. Comput., 27 (2006), pp. 1471-1492]. We show that the extension of the method to the PML equation is straight-forward, and the performance for this type of problem does not degrade as compared to Helmholtz problems with, e.g. Engquist and Majda's second order boundary condition. Subject Helmholtz equationPMLBi-CGSTABmultigrid To reference this document use: http://resolver.tudelft.nl/uuid:241032bc-7485-41cb-8f2a-e36ad88fbc08 Part of collection Conference proceedings Document type conference paper Rights (c) 2006 Erlangga, Y.A. Files PDF Erlangga.pdf 72.37 KB Close viewer /islandora/object/uuid:241032bc-7485-41cb-8f2a-e36ad88fbc08/datastream/OBJ/view