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Volume 2, Issue 0
On a Robust Iterative Method for Heterogeneous Helmholtz Problems for Geophysics Applications

Y. A. Erlangga, C. Vuik & C. W. Oosterlee

Int. J. Numer. Anal. Mod., 2 (2005), pp. 197-208.

Published online: 2005-11

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  • 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.

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@Article{IJNAM-2-197, author = {Erlangga , Y. A.Vuik , C. and Oosterlee , C. W.}, title = {On a Robust Iterative Method for Heterogeneous Helmholtz Problems for Geophysics Applications}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {0}, pages = {197--208}, 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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/962.html} }
TY - JOUR T1 - On a Robust Iterative Method for Heterogeneous Helmholtz Problems for Geophysics Applications AU - Erlangga , Y. A. AU - Vuik , C. AU - Oosterlee , C. W. JO - International Journal of Numerical Analysis and Modeling VL - 0 SP - 197 EP - 208 PY - 2005 DA - 2005/11 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/962.html KW - 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.

Erlangga , Y. A.Vuik , C. and Oosterlee , C. W.. (2005). On a Robust Iterative Method for Heterogeneous Helmholtz Problems for Geophysics Applications. International Journal of Numerical Analysis and Modeling. 2 (0). 197-208. doi:
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