求解二维波动方程正演反演问题的半离散方法  

The Semi-discrate Method for Solving Direct and Inverse Problem of 2-D Wave Equation

作　　者：吴建成[1] 蔡日增[2] 郑家茂[3] 

机构地区：[1]江苏石油化工学院,江苏常州213016 [2]无锡轻工大学,江苏无锡214036 [3]东南大学,江苏南京210096

出　　处：《应用数学》1998年第2期66-70,共5页Mathematica Applicata

基　　金：国家自然科学基金

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．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.

关 键 词：波动方程 半离散法 正演问题 反演问题 

分 类 号：O241.82[理学—计算数学] O175.27[理学—数学]