A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation  

作　　者：崔凯 杨国伟 

机构地区：[1]Laboratory of High-Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080

出　　处：《Chinese Physics Letters》2005年第11期2738-2741,共4页中国物理快报（英文版）

基　　金：Supported by the K C Wang Education of Foundation of Hong Kong, and the National Natural Science Foundation of China under Grant Nos 10402043 and 10372106.

摘　　要：Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibrium convection-dispersion equations （CDEs） is developed. Moreover, in order to further improve the computational efficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employed to update the homotopy parameter during iteration. Numerical results show the feature of global convergence and high performance of this method. In addition, even the measurement quantities are heavily contaminated by noises, and a good solution can be found.Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibrium convection-dispersion equations （CDEs） is developed. Moreover, in order to further improve the computational efficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employed to update the homotopy parameter during iteration. Numerical results show the feature of global convergence and high performance of this method. In addition, even the measurement quantities are heavily contaminated by noises, and a good solution can be found.

关 键 词：LATTICE BOLTZMANN METHOD HOMOTOPY METHODS POROUS-MEDIA TRANSPORT MODEL SOIL 

分 类 号：O17[理学—数学]