An element by element spectral element method for elastic wave modeling  

作　　者：LIN Weijun WANG Xiuming ZHANG Hailan 

机构地区：[1]Institute of Acoustics, Chinese Academy of Sciences, Beijing 100080, China [2]CSIRO petroleum, ARRC, PO BOX 1130, Technology Park, Bentley, WA 6102, Australia

出　　处：《Progress in Natural Science:Materials International》2006年第1期21-29,共9页自然科学进展·国际材料（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10134020),the Fellowship of Chinese Academy of Sciences in China and the fellowship of the Abdus Salam International Centre for Theoretical Physics of UNESCO in Italy.

摘　　要：The spectral element method which combines the advantages of spectral method with those of finite element method, provides an efficient tool in simulating elastic wave equation in complex medium. Based on weak form of elastodynamic equations, mathe matical formulations for Legendre spectral element method are presented. The wave field on an element is discretized using high order Lagrange interpolation, and integration over the element is accomplished based upon the Gauss-Lobatto-Legendre integration rule. This results in a diagonal mass matrix which leads to a greatly simplified algorithm. In addition, the element by element technique is introduced in our method to reduce the memory sizes and improve the computation efficiency. Finally, some numerical examples are presented to demonstrate the spectral accuracy and the efficiency. Because of combinations of the finite element scheme and spectral algorithms, this method can be used for complex models, including free surface boundaries and strong heterogeneity.

关 键 词：spectral element Legendre polynomial elastic wave modeling element by element 

分 类 号：O343[理学—固体力学]