独立覆盖误差分析的子模型法

发布时间：2018-06-22 14:40

本文选题：数值流形方法 + 独立覆盖　；参考：《长江科学院院报》2017年12期

【摘要】：在应用独立覆盖流形法进行自适应分析的前期研究中,发现独立覆盖内部误差不易控制的问题,基于此,提出独立覆盖误差分析的子模型法。在单独的独立覆盖内进行覆盖函数的升阶操作,通过高、低阶之间的相对误差获得独立覆盖内部的逐点误差指标。详细介绍了子模型法的实施步骤,用重力坝算例验证了该方法能有效控制独立覆盖内部误差,不仅解决了目前存在的问题,还为将来实现逐点的误差控制打下基础。最后对独立覆盖流形法的收敛原理及误差控制方法进行了初步的理论分析和讨论。
[Abstract]:In the previous research of self-adaptive analysis using the independent covering manifold method, it is found that the internal error of independent cover is difficult to control. Based on this, a submodel method of independent cover error analysis is proposed. In a single independent covering, the degree of the covering function is raised, and the point-by-point error index is obtained by the relative error between the high and low order. The implementation steps of the submodel method are introduced in detail. An example of gravity dam is used to verify that the method can effectively control the internal error of independent coverage, which not only solves the existing problems, but also lays a foundation for the realization of point-by-point error control in the future. Finally, the convergence principle and error control method of the independent covering manifold method are analyzed and discussed.
【作者单位】：长江科学院材料与结构研究所;水利部水工程安全和病害防治工程技术研究中心;
【基金】：国家自然科学基金项目(51409012) 中央级公益性科研院所基本科研业务费项目(CKSF2016266/CL)
【分类号】：TV222.2

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