Performance of preconditioned iterative and multigrid solvers in solving the three-dimensional magnetotelluric modeling problem using the staggered finite-difference method: a comparative study

doi:10.1088/1742-2132/13/1/1

CORC > 地质与地球物理研究所 > 中国科学院地质与地球物理研究所 > 中国科学院油气资源研究重点实验室

	Performance of preconditioned iterative and multigrid solvers in solving the three-dimensional magnetotelluric modeling problem using the staggered finite-difference method: a comparative study
	Li, Gang 1,2; Zhang, Lili 2; Hao, Tianyao 2
刊名	JOURNAL OF GEOPHYSICS AND ENGINEERING
	2016-02-01
卷号	13 期号:1 页码:1-10
关键词	magnetotellurics staggered finite-difference method three-dimensional modeling preconditioned iterative solvers multigrid solver divergence correction
DOI	10.1088/1742-2132/13/1/1
文献子类	Article
英文摘要	An effective solver for the large complex system of linear equations is critical for improving the accuracy of numerical solutions in three-dimensional (3D) magnetotelluric (MT) modeling using the staggered finite-difference (SFD) method. In electromagnetic modeling, the formed system of linear equations is commonly solved using preconditioned iterative relaxation methods. We present 3D MT modeling using the SFD method, based on former work. The multigrid solver and three solvers preconditioned by incomplete Cholesky decomposition the minimum residual method, the generalized product bi-conjugate gradient method and the bi-conjugate gradient stabilized method-are used to solve the formed system of linear equations. Divergence correction for the magnetic field is applied. We also present a comparison of the stability and convergence of these iterative solvers if divergence correction is used. Model tests show that divergence correction improves the convergence of iterative solvers and the accuracy of numerical results. Divergence correction can also decrease the number of iterations for fast convergence without changing the stability of linear solvers. For consideration of the computation time and memory requirements, the multigrid solver combined with divergence correction is preferred for 3D MT field simulation.
WOS关键词	3-D ELECTROMAGNETIC-FIELDS ; FREQUENCY-DOMAIN ; LINEAR-SYSTEMS ; INVERSION ; EQUATIONS ; ACCURACY ; CSEM
WOS研究方向	Geochemistry & Geophysics
语种	英语
WOS记录号	WOS:000372200000001
资助机构	National Natural Science Foundation of China(41130420 ; National Natural Science Foundation of China(41130420 ; National Major Project of China(2011ZX05008-006-30) ; National Major Project of China(2011ZX05008-006-30) ; 41174091) ; 41174091) ; National Natural Science Foundation of China(41130420 ; National Natural Science Foundation of China(41130420 ; National Major Project of China(2011ZX05008-006-30) ; National Major Project of China(2011ZX05008-006-30) ; 41174091) ; 41174091)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/62027]
专题	地质与地球物理研究所_中国科学院油气资源研究重点实验室
作者单位	1.Ocean Univ China, Minist Educ, Key Lab Submarine Geosci & Prospecting Technol, Qingdao 266100, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Li, Gang,Zhang, Lili,Hao, Tianyao. Performance of preconditioned iterative and multigrid solvers in solving the three-dimensional magnetotelluric modeling problem using the staggered finite-difference method: a comparative study[J]. JOURNAL OF GEOPHYSICS AND ENGINEERING,2016,13(1):1-10.
APA	Li, Gang,Zhang, Lili,&Hao, Tianyao.(2016).Performance of preconditioned iterative and multigrid solvers in solving the three-dimensional magnetotelluric modeling problem using the staggered finite-difference method: a comparative study.JOURNAL OF GEOPHYSICS AND ENGINEERING,13(1),1-10.
MLA	Li, Gang,et al."Performance of preconditioned iterative and multigrid solvers in solving the three-dimensional magnetotelluric modeling problem using the staggered finite-difference method: a comparative study".JOURNAL OF GEOPHYSICS AND ENGINEERING 13.1(2016):1-10.