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《地震学报(英文版)》 2011-05
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Iterative convergence of boundary-volume integral equation method

Gengxin Yu and Liyun Fu Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China  
The boundary-volume integral equation numerical technique can be a powerful tool for piecewise heterogeneous media,but it is limited to small problems or low frequencies because of great computational cost. Therefore,a restarted GMRES method is applied to solve large-scale boundary-volume scattering problems in this paper to overcome the computational barrier.The iterative method is firstly applied to responses of dimen-sionless frequency to a semicircular alluvial valley filled with sediments,compared with the standard Gaussian elimination method.Then the method is tested by a heterogeneous multilayered model to show its applicability. Numerical experiments indicate that the preconditioned GMRES method can significantly improve computational efficiency especially for large Earth models and high frequencies,but with a faster convergence for the left diagonal preconditioning.
【Fund】: supported by the National Natural Science Foundation of China(Nos. 41130418 and 40925013);; the National Basic Research Program(973 Program)(No.2009CB219403)
【CateGory Index】: P315
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