Abstract
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.
Original language | English (US) |
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Pages (from-to) | 303-321 |
Number of pages | 19 |
Journal | Mathematics and Computers in Simulation |
Volume | 65 |
Issue number | 4-5 |
DOIs | |
State | Published - May 11 2004 |
Event | Wave Phenomena in Physisc and Engineering: New Models - Montreal, Canada Duration: May 1 2003 → May 1 2003 |
Keywords
- Acoustic scattering
- DtN technique
- Finite element method
- GMRES iterative method
- Helmholtz equation
- ILU0
- ILUT
- ILUTC
- Incomplete factorization