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 - <p style="text-align: justify;">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.</p>