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- Mini-course: On Hyper Singular Integral Operator 强奇异积分算子
- hyper singular integral 超强奇异积分
- Oestreich[9] deal with an optimal control problem of such a type, however for a nonlinear singular integral equation. 在这个假设条件下，我们首先证明了状态方程解的存在唯一性和最优控制的存在性.
- The algorithm that solves weakly singular integral equation by Nystrom method is first discussed. 本文首先研究了Nystrom方法求解弱奇异积分方程的算法。
- An approximate solution of a class of singular integral equation is given, the error and the possibility of the solution is analysed and proved. 给出了一类奇异积分方程的一种近似解法，并对其误差进行了分析估计，同时验证了该方法的可行性.
- By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper. 摘要用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
- After using the obtained elementary soluation,the singular integral equation for the collinear crack problem was obtained. 利用此基本解可得共线裂纹问题的奇异积分方程。
- The commutators [b, T] to be considered in this paper are composed of singular integral operators with Dini-type kernel defined as above and BMO functions. 本文考虑上述核具Dini型条件的奇异积分算子T与BMO函数构成的交换子[b,T]的端点估计,证明了交换子[b,T]满足L(log L)型不等式:
- Abstract: An approximate solution of a class of singular integral equation is given, the error and the possibility of the solution is analysed and proved. 文摘:给出了一类奇异积分方程的一种近似解法，并对其误差进行了分析估计，同时验证了该方法的可行性.
- Compared with NAH based on the boundary element method (BEM), variable interpolation, numerical calculation and disposal of singular integral are avoided in this method. 建立了基于分布源边界点法的声散射场重建和预测理论模型。
- The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach. 利用复变函数和奇异积分方程方法,求解反平面弹性中半平面边缘内分叉裂纹问题。
- In this paper, the method of solution in the vector format for a kind of dual singular integral equation with two convolution kernels is discussed, and the general explicit solution and the related conditions of solvability are obtained. 摘要本文对文[2]中的含两个卷积核的对偶型奇异积分方程给出了向量形式求解方法，并且给出了一般解的显式及相应的可解条件。
- Different kinds of integrations have to be evaluated in boundary element methods.The nearly singular integral is the most difficult one of them. 摘要边界元法通常需要采用数值方法解决单元内的各种积分问题，而准奇异积分是各种积分中数值处理最为困难的部分。
- Singular integral equations with complex translations on smooth closed curve are discussed if equations satisfy regularity condition. And the solutions are obtained by the method of regularization. 在正则型的假设下;讨论了封闭曲线带复平移的奇异积分方程;并利用正则化方法得到方程解的表达式;所得结论补充了带平移的奇异积分方程的理论.
- The difficulty of the treatment of the nearly singular integrals hindered applications of Boundary Element Method(BEM). 摘要几乎奇异积分的计算困难阻碍了边界元法的工程应用。
- The singular integration will affect the precision of the result while the Boundary Element Method (BEM) is used in calculating sound radiation. 边界元法应用于计算辐射声场时，由于奇异积分的存在，会影响到计算结果的精度。
- In this note,several types of the formulas to interchanging order of integration for singular integrals of high order on real aris are given. 给出实轴上几种类型高阶奇异积分的换序公式 .
- Singular integrals can be dealed with successfully for either linear element or quatratic element in the two-dimension shape optimization. 在两维形状优化中,无论用线性单元或是二次单元,积分的奇异性都可以完满处理。
- It is significant for structure analysis to implement object-oriented programming of BEM and improve singular integrals. 用面向对象的方法实现边界元结构程序分析和解决奇异积分计算,对结构计算分析具有一定的现实意义。
- Therefore, there are no problems such as parameters interpolation, singular integration etc. in WSA based acoustic holography, which are inherent to BEM based NAH. 因而 ;基于波叠加法的声全息就不存在边界面上的参数插值和奇异积分等问题 ;而这些问题是基于边界元法的声全息所固有的 .
