Abstract
In this paper, a robust iterative method for the 2D heterogeneous Helmholtz equation is discussed. Two important ingredients of the method are evaluated, namely the Krylov subspace iterative methods and multigrid based preconditioners. For the Krylov subspace methods we evaluate GM- RES and Bi-CGSTAB. The preconditioner used is the complex shifted Laplace preconditioner [Erlangga, Vuik, Oosterlee, Appl. Numer. Math. 50(2004) 409-425] which is approximately solved using multigrid. Numerical examples which mimic geophysical applications are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 197-208 |
| Number of pages | 12 |
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 2 |
| Publication status | Published - 2005 |
| Externally published | Yes |
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Keywords
- Helmholtz equation
- Krylov subspace methods
- Multigrid
- Preconditioner
ASJC Scopus subject areas
- Numerical Analysis
Cite this
On a robust iterative method for heterogeneous helmholtz problems for geophysics applications. / Erlangga, Yogi A.; Vuik, Cornelis; Oosterlee, Cornelis W.
In: International Journal of Numerical Analysis and Modeling, Vol. 2, 2005, p. 197-208.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On a robust iterative method for heterogeneous helmholtz problems for geophysics applications
AU - Erlangga, Yogi A.
AU - Vuik, Cornelis
AU - Oosterlee, Cornelis W.
PY - 2005
Y1 - 2005
N2 - In this paper, a robust iterative method for the 2D heterogeneous Helmholtz equation is discussed. Two important ingredients of the method are evaluated, namely the Krylov subspace iterative methods and multigrid based preconditioners. For the Krylov subspace methods we evaluate GM- RES and Bi-CGSTAB. The preconditioner used is the complex shifted Laplace preconditioner [Erlangga, Vuik, Oosterlee, Appl. Numer. Math. 50(2004) 409-425] which is approximately solved using multigrid. Numerical examples which mimic geophysical applications are presented.
AB - In this paper, a robust iterative method for the 2D heterogeneous Helmholtz equation is discussed. Two important ingredients of the method are evaluated, namely the Krylov subspace iterative methods and multigrid based preconditioners. For the Krylov subspace methods we evaluate GM- RES and Bi-CGSTAB. The preconditioner used is the complex shifted Laplace preconditioner [Erlangga, Vuik, Oosterlee, Appl. Numer. Math. 50(2004) 409-425] which is approximately solved using multigrid. Numerical examples which mimic geophysical applications are presented.
KW - Helmholtz equation
KW - Krylov subspace methods
KW - Multigrid
KW - Preconditioner
UR - http://www.scopus.com/inward/record.url?scp=46349107308&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=46349107308&partnerID=8YFLogxK
M3 - Article
VL - 2
SP - 197
EP - 208
JO - International Journal of Numerical Analysis and Modeling
JF - International Journal of Numerical Analysis and Modeling
SN - 1705-5105
ER -