| 基于辛格式的谱元法及其在横向各向同性介质波场模拟中的应用 |
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| 引用本文： | 汪文帅,李小凡.基于辛格式的谱元法及其在横向各向同性介质波场模拟中的应用[J].数值计算与计算机应用,2013(1):20-30. |
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| 作者姓名： | 汪文帅 李小凡 |
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| 作者单位： | 宁夏大学数学计算机学院;中国科学院地质与地球物理研究所 |
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| 基金项目： | 国家自然科学基金(41174047,40874024,41204041);国家重点基础研究发展计划“973”计划(2007CB209603) |
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| 摘 要： | 基于分部的Runge-Kutta离散形式,给出了一种新的三阶辛积分算法,数值试验表明,长时程计算时该算法具有好的控制误差累积的能力;与有限差分法进行空间域离散相结合,通过数值试验进一步说明算法的有效性.注意到位移波动方程通过谱元离散后的微分方程组,完全符合新推导的三阶辛算法离散所需形式,因此将该三阶辛算法与谱元法结合具有很好的优势,并通过对横向各向同性介质弹性波场的模拟,结果显示不但成功模拟了波的传播特性,而且相对于传统算法,优势明显.
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| 关 键 词： | 谱元法 辛格式 横向各向同性介质 |
THE SEM BASED ON SYMPLECTICAL SCHEMES AND ITS APPLICATION IN MODELING THE WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC MEDIA |
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| Wang Wenshuai School of Mathematics and Computer Science,Ningxia University,Yinchuan,China; Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing,China Li Xiaofan.THE SEM BASED ON SYMPLECTICAL SCHEMES AND ITS APPLICATION IN MODELING THE WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC MEDIA[J].Journal on Numerical Methods and Computer Applications,2013(1):20-30. |
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| Authors: | Wang Wenshuai School of Mathematics and Computer Science Ningxia University Yinchuan China; Institute of Geology and Geophysics Chinese Academy of Sciences Beijing China Li Xiaofan |
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| Affiliation: | Wang Wenshuai (School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China; Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China) Li Xiaofan (Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China) |
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