| 求解二维波动方程正演反演问题的半离散方法 |
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| 引用本文： | 吴建成,蔡日增.求解二维波动方程正演反演问题的半离散方法[J].应用数学,1998,11(2):66-70. |
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| 作者姓名： | 吴建成 蔡日增 |
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| 作者单位： | 江苏石油化工学院!江苏常州，213016，无锡轻工大学!江苏无锡，214036，东南大学!江苏南京，210096 |
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| 摘 要： | 本文用半离散方法将二维波动方程离散为一维耦合波动方程组．给出了离散的收敛性及波动方程组的适定性．利用这种方法可以求解波动方程系数及演问题．
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| 关 键 词： | 半离散 二维波动方程 正、反演 收敛性 适定性 |
The Semi-discrate Method for Solving Direct and Inverse Problem of 2-D Wave Equation |
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| Wu Jiancheng, Cai Rizeng.The Semi-discrate Method for Solving Direct and Inverse Problem of 2-D Wave Equation[J].Mathematica Applicata,1998,11(2):66-70. |
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| Authors: | Wu Jiancheng Cai Rizeng |
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| Institution: | Wu Jiancheng; Cai Rizeng (Jiangsu Petroleum Chemical Institute) (WuXi Institute of light Industry)Zheng Jiamao (Southeast University) |
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| Abstract: | The artical gives a semi-discrate method for solving direct and inverse problem of 2-D wave equation. By the method 1 2-D wave equation is discrated into one-dimension wave equation system f which is well-posed. The convergence of the semi-diserate method is given. The method is convenient to solve inverse problem of 2-D wave equation especially. |
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| Keywords: | Semi-discrate method 2-D wave equation direct and inverse problem convergence well-posed |
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