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《Progress in Geophysics》 2006-01
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Wave equation modeling and imaging by using element-free method

JIA Xiao-feng~(1),HU Tian-yue~(1),WANG Run-qiu~(2)(1.Department of Geophysics,Peking University,Beijing 100871,China;2.School of Resources and Information Technology,University of Petroleum,Beijing 102200,China)  
Wave equation method is one of the fundamental techniques for seismic modeling and imaging.In this paper we discuss a rather new numerical method-the Element-Free Method(EFM),which has demonstrated quite successful in elasticity,heat conduction and fatigue crack growth problems.The key point of this method is the absence of elements,which means potential cost savings.Besides,the Moving Least Squares(MLS) approximation in the EFM design leads to high accuracy and smooth derivatives.The basic principle and a simple example of vibrant film are discussed in details in this paper.Finally,some more examples will be given to show the good performance of EFM in seismic modeling and imaging problems.
【Fund】: 国家自然科学基金项目(40574050 40274041 40521002)资助
【CateGory Index】: P315.3
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