Preconditionning Techniques for the Solution of the Helmholtz Equation by the Finite Element Method
نویسندگان
چکیده
This paper discusses 2D and 3D solutions of the harmonic Helmholtz equation by finite elements. It begins with a short survey of the absorbing and transparent boundary conditions associated with the DtN technique. The solution of the discretized system by means of a standard Galerkin or Galerkin least-squares (GLS) scheme is obtained by a preconditioned Krylov subspace technique, specifically a preconditioned GMRES iteration. The stabilization parameter associated to GLS is computed using a new formula. Three types of preconditioners: ILUT, ILUTC and ILU0, are tested to enhance convergence. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Mathematics and Computers in Simulation
دوره 65 شماره
صفحات -
تاریخ انتشار 2003