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间断函数

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Differential matrices are obtained on the element in accordance with continuous intervals of discontinuous boundary value problem to divide the computing elements and approximating unknown function on the element in term of barycentric Lagrange interpolation.

按照间断边值问题的连续区间划分计算单元,在每一个单元上采用重心Lagrange插值近似未知函数,得到每一个单元上的微分矩阵。

V-system consists of piecewise polynomials with multi-level discontinuity. It has property of multi-resolution and compact local support.

V-系统由分段多项式组成,包括各个层次的间断函数,具有多分辨分析特性和局部性。

The experiment results indicate that V-system is an effective tool used to reconstruct complicated geometric information with both continuous and discontinuous signals. This is the essential difference among V-system, the classical complete orthogonal system with continuous functions and Walsh and Haar system which include intense discontinuous functions.

利用三角域上V-系统进行三维复杂几何模型的重构实验,实验结果表明,V-系统对复杂的、连续间断并存的几何信息重构特别有效,这与经典的连续正交函数系及强间断的Walsh及Haar函数系有本质的不同。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系,函数系中既有连续函数又有间断函数

According to the characteristic of discontinuous function, we use the multi-expression mining method. This method has relatively low complexity.

该方法是对基因表达式算法的改进,能够挖掘间断函数,具有对数数量级的复杂度。

Application of partially discontinuous fitting function in analysis and display of geological curve surface, Advancement of Chinese mathematical geology.

局部间断拟合函数在地质曲面分析和显示中的应用,中国数学地质进展。

Application of partially discontinuous fitting function in analysis and displayof geological curve surface, Advancement of Chinese mathematicalgeology.

局部间断拟合函数在地质曲面分析和显示中的应用,中国数学地质进展。

Application of partially discontinuous fitting function in analysis and display of geological curve surface, advancement of chinese mathematical geology.beijing: press of geology,

局部间断拟合函数在地质曲面分析和显示中的应用,中国数学地质进展。北京:地质出版社,1995,14-23

The basic theory of extended finite element method are expounded particularly, and given a class of enrichment displacement functions---the exponent discontinuous function which is presented to simulate the discontinuous character resulted from discontinuity such as crack.

本文详细阐述了扩展有限元法的基本原理,提出一类附加位移形函数-指数型间断函数来描述由裂纹所导致的位移不连续规律。

XFEM;the exponent discontinuous function;crack

扩展有限元法;指数间断函数;裂纹

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