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频域波动方程数值解的一种多重网格方法 被引量:3
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作者 钱建良 刘家琦 卢惠林 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 1996年第2期1-5,共5页
将近年发展起来的多重网格方法应用于频域波动方程的数值求解,数值算例说明多重网格方法是一种最优阶算法,适宜于处理频域波动方程。最后指出了多重网格方法与微分方程数值解的小波方法的区别。
关键词 波动方程 多重网格法 数值解 频域波动方程
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Multi-scale seismic full waveform inversion in the frequency-domain with a multi-grid method 被引量:2
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作者 宋建勇 郑晓东 +1 位作者 秦臻 苏本玉 《Applied Geophysics》 SCIE CSCD 2011年第4期303-310,371,共9页
Although full waveform inversion in the frequency domain can overcome the local minima problem in the time direction, such problem still exists in the space direction because of the media subsurface complexity. Based ... Although full waveform inversion in the frequency domain can overcome the local minima problem in the time direction, such problem still exists in the space direction because of the media subsurface complexity. Based on the optimal steep descent methods, we present an algorithm which combines the preconditioned bi-conjugated gradient stable method and the multi-grid method to compute the wave propagation and the gradient space. The multiple scale prosperity of the waveform inversion and the multi-grid method can overcome the inverse problems local minima defect and accelerate convergence. The local inhomogeneous three-hole model simulated results and the Marmousi model certify the algorithm effectiveness. 展开更多
关键词 Full waveform inversion frequency domain wave equation multi-grid iterative method bi-conjugated gradient stable algorithm
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