A study on reliability analysis for numerical mathematical models of wrinkled membranes

本文研究了一种对起皱膜的数值数学模型进行可靠性分析的方法。开发了一种分析皱膜动力学的计算机仿真程序。本程序采用蒙特卡罗方法和数据同化方法进行可靠性分析。通过一个简单的方膜动力学问题验证了这两种方法的有效性。采用蒙特卡罗方法对模型参数进行敏感性分析，采用数据同化方法对模型参数进行估计。

This study investigates a method for reliability analysis of numerical mathematical models of wrinkled membranes. A computer simulation code to analyze wrinkled membrane dynamics is developed. Both the Monte-Carlo method and the data assimilation method are implemented into this code for reliability analysis. A simple problem of square membrane dynamics is provided to verify the effectiveness of both methods. The Monte-Carlo method is applied for sensitivity analysis of model parameters, while the data assimilation method is used for model parameter estimations.