singular integral element

In this paper, a theorem of multivariate singular integral approximation is presented and anexample is given.

本文给出了多元奇异积分逼近的一个定理，并给出了数值例。

A method of treating high order singular integration in calculation of sound radiation with BEM;

用边界元法计算声辐射时高次奇异积分的处理方法

When the boundary element method is used on this kind of problem,singular integrations would exist.

用边界元法进行泵轴对称应力分析问题时,会遇到奇异积分,典型的处理方法是将被积函数中的椭圆函数用对数函数近似,以及基于积分变换的方法。

When a boundary element method is adopted for this kind of problem,singular integrations would be encountered.

对这类问题应用边界元法必然会遇到奇异积分,其有效而准确的计算是关键。

Treatment of singular integral or boundary element in the temperature field;

温度场中边界元奇异积分处理

Commutators of singular integrals on Hardy type spaces;

奇异积分交换子在Hardy型空间上的估计

Product spherical harmonic and a singular integral on product space;

乘积球面调和与一个奇异积分

Least square quadrature formula for singular integrals;

奇异积分的最小二乘求积公式

Simple treatment for O( ln r) type singular integrals;

O(lnr)型奇异积分的简便处理

Accurate evaluation of singular integrals and multi region condensational procedure in 2 D boundary element analysis;

二维边界元奇异积分和多域缩聚法分析

Analyzing the integral singularity in 3 D boundary element method for cooling simulation, a scheme is adopted to eliminate the second singularity for two types of units by using different linear interpolation function individually and degenerated integral transformation.

分析三维边界元法中的积分奇异性，对冷却分析中的两类单元：水管单元和制品三角形单元分别采用不同的线性插值函数，并通过引进退化的积分变换，消除了积分时存在的倒数奇异性和二阶奇异性，并给出了带有源点的单元上积分的解析表达式。

Two Classes of Singular Integral Equations of Convolution Type with Reflection

二类具有反射的卷积型奇异积分方程

An Efficient Algorithm of the Nearly Singular Integrals in Non-singular Boundary Element Method;

无奇异边界元法中拟奇异积分的有效算法

The Direct Method of Soution for Singular Integral Equations with Soutions Having Singularities of order One;

具一阶奇异性解的奇异积分方程的直接解法

Two Dimensional High Fractional Order Sigular Integrals with Sigularity Lies in the Interior of the Domain;

奇点位于区域内部的二维高分数阶奇异积分

The Stability of Singular Integral When the Boundary Curve of Domain of Integration Perturbs

三类奇异积分关于积分区域边界摄动的稳定性

Singular Integral Equation with Hilbert Kernel in Solution Having Singularity of Order One;

一类具一阶奇性解的Hilbert核奇异积分方程

Commutators Generated by Singular Integrals and Lipschitz Functions;

由奇异积分和Lipschitz函数生成的交换子

Galerkin Boundary Element Method with Hyper Singular Intergral;

带超强奇异积分的Galerkin边界元法

Cauchy Problems for Boussinesq Equation with Singular Integral Terms;

具有奇异积分项的Boussinesq方程的Cauchy问题

Endpoint Estimates for Commutators of Singular Integral Operator with Dini-type Kernel;

Dini型核奇异积分算子交换子端点估计

The Singular Integral Equations with Variable Coefficients on the Domain Built by Complex Biballs;

复双球垒域上变系数的奇异积分方程

A Reasoning for Inversion Formula of Hilbert Kernel Singular Integral Equation;

Hilbert核奇异积分方程反演公式的推导

Order of convergence of Fejer-Korovkin singular integral in orlicz spaces;

Fejer-Korovkin奇异积分在Orlicz空间中的收敛阶

The Approximation of Singular lntegral Reciprocal of the Type Abel-Poisson;

Abel-Poisson型奇异积分导数的逼近阶

The Evaluation of Nearly Singular Integrals with Variable Transformation for Elasticity Problems

弹性力学问题中拟奇异积分的变换法

Weighted Norm Inequalities for the Maximal Multilinear Singular Integral Operator

多线性奇异积分算子的加权模不等式

Mathematical Processing of a Singualr-integral in Acoustic Computation

声场计算中一类奇异积分的数学处理

A Kind of Special Curve Singular Intergral Equations with Hilbert Kernel

一种特殊曲线上的Hilbert核奇异积分方程