TY - CHAP
T1 - Preconditionning techniques for the solution of the Helmholtz equation by the finite element method
AU - Kechroud, Riyad
AU - Soulaimani, Azzeddine
AU - Saad, Yousef
PY - 2003
Y1 - 2003
N2 - This paper discusses 2D solutions of the 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 paremeter associated to GLS is computed using a new formula. Two types of preconditioners, ILUT and ILU0, are tested to enhance convergence.
AB - This paper discusses 2D solutions of the 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 paremeter associated to GLS is computed using a new formula. Two types of preconditioners, ILUT and ILU0, are tested to enhance convergence.
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U2 - 10.1007/3-540-44843-8_92
DO - 10.1007/3-540-44843-8_92
M3 - Chapter
AN - SCOPUS:35248889945
SN - 354040161X
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 847
EP - 858
BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
A2 - Kumar, Vipin
A2 - Kumar, Vipin
A2 - Gavrilova, Marina L.
A2 - Tan, Chih Jeng Kenneth
A2 - Tan, Chih Jeng Kenneth
A2 - L’Ecuyer, Pierre
PB - Springer Verlag
ER -