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- A set of boundary integral equation (BIE) with the unknown function of opening displacement is obtained. 利用周期性的条件,将问题归结为一个典型条带中含单个裂纹的问题,并推导出了以裂纹张开位移为未知函数的边界积分方程。
- BNM was employed to solve the boundary integral equation.Meanwhile, the convergence analysis of MRM was presented. 给出了用多重互换法把区域积分转化为边界积分的收敛性证明。
- With the Betti’s reciprocal work theorem, the boundary integral equation can be reduced. 并通过压电体的Betti互等定理构造边界积分方程；
- This paper presents a boundary integral equation of second order linear parabolic equations and proves uniqueness of solution of the boundary integral equation. 本文给出二阶线性抛物型方程的边界积分方程,并证明了该边界积分方程的解的唯一性。
- The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES). 基于对偶边界积分方程(DBIE)构造代数方程组,采用广义极小残值迭代法(GMRES)求解。
- We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity. 摘要提出了求积法解稳态问题的混合边界积分方程，它拥有高精度，低复杂度。
- The hybrid approach of EB-FEM combined with domain decomposition method (DDM) and boundary integral equation (BIE) is introduced. 研究了区域分解法(DDM)与EB一FEM、边界积分方程(BIE)法相结合的混合算法一DDM/F EM一BIE方法。
- The Saint-Venant torsion problems of a pier with curvilinear edge cracks were considered and reduced to solving the boundary integral equations only on cracks. 研究含边裂纹桥墩的Saint-Venant扭转,将问题划归为裂纹上边界积分方程的求解。
- By applying equivalence principle in combination with PO and PTD, the boundary Integral Equation (BIE) on the opening of the first subdomain is established. 对于腔体开口面所在子域 ,应用等效原理 ,结合物理光学法 (PO)与物理绕射理论 (PTD) ,得到腔体开口面的边界积分方程 ;
- Boundary element method is a kind of numerical algorithm on boundary;it is based on the boundary integral equation and employs the element discretization technique. 边界元属于边界型的数值方法,它是以边界积分方程为数学基础,同时采用了有限元法的单元离散技术。
- The boundary node method(BNM) is a meshless method which combines the moving least-squares(MLS) interpolation scheme with the standard boundary integral equations(BIEs). 边界节点法(BNM)将边界积分方程和移动最小二乘近似方案相结合,同时具有边界元法降维和无网格法不需要划分网格的优势。
- The second kind of boundary integral equations are uesd on different boundary, and the double-equation boundary element method for biharmonic equation is getted. 对不同边界都采用第二类积分方程，得到了三维重调和方程的双方程方法。
- In this thesis, the extended displacement discontinuity boundary integral equation method for transversely isotropic magnetoelectroelatic solid is proposed. 本文提出了横观各向同性电磁固体的广义不连续位移边界积分方程方法。
- In this paper, a complete boundary integral mathematib model has been built up through dividing the regions of space and time into a numberof subdomains or elements respectively. 本文通过对空间域和时间域的离散，建立了注塑模三维瞬态温度场的完全边界积分计算模型。
- A set of boundary integral equation (BIE) of transient waves scattering in an anisotropic medium is established by Fourier transformation and weighted residuals method, and an appropiate shape-function is also obtained in this paper. 本文利用Fourier变换和加权残数法建立了正交各向异性体反平面瞬态波散射问题的边界积分方程,构造了在边界上能满足波动方程的边界元函数,它比常用的二次元和高次元具有较好的适应性。
- This paper derives the boundary integral equatiop of 3D electrostatic field computation,the boundary element equation,and the formulas of calculting potential and field intensity from the fundamental solution of Laplace equation. 本文从三维拉普拉斯方程的积分解出发，推导出三维静电场分析的边界积分方程、边界单元方程、场点的电磁计算公式和场强计算公式。
- The test problem is the boundary integral equation from the exterior Dirichlet problem for the Helmholtz equation with a smooth arc as its boundary, and it is solved using BEM both with and without the singular elements. 以一条弧为边界的Helmholtz方程外 Dirichlet问题导出的边界积分方程为例 ,分别用一般的边界元法和带奇性单元的边界元法进行计算。
- Two-dimensional free surface flows may be formulated through boundary integrals which allows analytic continuation in the unphysical complex plane. 本文探讨利用类神经网路对于输入模态讯息作形式辨别的最佳化过程，进行结构损伤定位。
- With the consideration of surface tension the boundary integral method and numerical solution method for simulation of a cavitation bubble collapsing near a rigid wall are derived. 导出了考虑表面张力影响下模拟固壁附近溃灭空化气泡特性的边界积分方法及数值求解方法。
- One of them is the normal boundary stress solution and the other is calculated through the direct dicretization of the regularized hyper-singular boundary integral equation of displacement derivative. 其中一组是普通的边界应力解，另一组是由正则化的超奇位移导数积分方程的直接离散化求解得到。
