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The numerical models are implemented by finite element method.

本文中所有的数值方法利用有限元方法实现。

The finite element method is selected to study interaction between floating body and waves, and its application is discussed in this thesis.

数值方法上,本文选择有限元法来求解关于浮体与波浪相互作用问题,探讨该方法在处理船舶摇荡问题中的应用。

And a model of layer—disperising dual medium is established (2) Some new theories and methods, such as Fourier dual integral transformation and half numeral value analytic method and so on, are used to establish the calculating formula in this paper.

2本文在理论推导上,应用了数学、力学和数学物理方程方面的新理论和新方法,如:二重富里叶积分变换、板壳理论、分离变量法以及半解析数值方法等,使本论文在理论推导过程上,增加了理论的严密性和逻辑性。

The inversion of particle size distribution from measured data of light scattering, as a typical inverse problem, has been studied by many reseachers and solved by several numerical methods. Among which, direct Tikhonov regularization method with Morozov discrepancy principle, is often used to overcome the ill-posedness linked with the Fredholm integral equation of the first kind, so the stability of inversion has been heightened. But there has much room for improvement of the inversion accuaracy, especially for the double-peak problems.

由测量得到的散射光强数据来反演颗粒粒径分布是一个典型的反问题,它已为许多的学者所研究,并用多种数值方法来求解,其中带Morozov偏差原理的直接Tikhonov正则化方法经常被采用,以便用来克服与上述反演相联系的第一类Fredholm积分方程的不适定性带来的困难,因而反演的精度得到了提高;然而仍有许多改进的余地,特别是对于所谓"双峰"问题更是如此。

Differing from the general BEM that is attributed from the general boundary integral equation, The natural boundary element method attributed from the natural BIE has not only the advantage of the dimensionality, but is confirmed and gain the only NBIE from the original problem.

无网格方法仅仅需要节点信息,克服了有限元等传统数值方法对网格有较强依赖性的缺点,摆脱了网格的束缚,避免了大量的网格分划、复杂的网格生成及重新划分的工作,减少了因网格畸变而引起的困难,而且收敛快、精度高、易于实现和进行后处理工作。

The spectral element method, which combines the high-order precision of spectral methods and the geometrical flexibility of finite element methods, has achieved great success and is becoming a useful tool for investigation of such equations.

谱元法作为一种高阶的数值方法,结合了谱方法的高精度和有限元法灵活的网格剖分技术,在不可压流体的计算中已取得了很大的成功,并正成为计算随机微分方程的一个有力工具。

A numerical method to estimate hemolysis level in blood pump was presented and hemolysis indices were calculated.

给出了一种利用数值方法计算溶血指标的方法,并通过溶血指标的计算评价了血泵内的溶血程度,发现雷诺切应力是导致溶血的主要原因。

Local boundary integral equation method developed recently is a new efficient and flexible numerical method.

无网格局部边界积分方程方法是一种近期发展起来的数值方法

In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法,特别是三维矢量散射分析中出现的高阶奇异性,给出了两种解决积分方程奇异性的数值方法

Dept.of Microwave Eng.,UEST of China,Chengdu 610054,ChinaAbstract:In this paper,the singularity in the integrand of electrical field integral equation for 3-dimensional vector fields scattering is first analyzed.

本文研究了电场积分方程中被积函数奇异性的处理方法,特别是三维矢量散射分析中出现的高阶奇异性,给出了两种解决积分方程奇异性的数值方法

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