欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
奇异边界法是与基本解法相对应的一种边界型无网格数值离散方法．该方法提出了源点强度因子的概念，克服了传统基本解方法中最复杂最头疼的虚拟边界问题．基于边界元法中处理奇异积分的数值处理技术，导出了源点强度因子的解析表达式，提出了改进的无网格奇异边界法，并进一步将该方法应用于三维位势问题．该方法消除了传统方法中样本点的选取，在不增加计算量的前提下，极大地提高了奇异边界法的计算精度与稳定性．
英文摘要：
The singular boundary method （SBM） is a relatively new meshless boundary collocation method for the numerical solution of certain boundary value problems. The key idea is to introduce the concept of the origin intensity factor to isolate the singularity of the fundamental solutions, So that the source points directly coincide with the collocation points on the realistic boundary. This overcomes a perplexing fictitious boundary outside physical domain in the recently popular method of fundamental solutions （MFS）. However, the inverse interpolation technique requires the placement of a cluster of sample nodes inside or outside the physical domain for either interior or exterior problems. Our recent numerical experiments indicate that the overall accuracy of this SBM formulation is, to a certain degree, sensitive to the location of such sample nodes. To remedy the above-mentioned drawbacks, this paper proposes an improved SBM formulation for three-dimensional potential problems to circumvent sample nodes in the inverse interpolation technique with the traditional SBM. Numerical experiments demonstrate its significantly improved accuracy and stability in comparison with the traditional SBM formulation.
同期刊论文项目
同项目期刊论文
Stress analysis for thin multilayered coating systems using a sinh transformed boundary element meth
Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and La
A new formulation of regularized meshless method applied to interior and exterior anisotropic potent
A meshless singular boundary method for three-dimensional inverse heat conduction problems in genera
Method of fundamental solutions without fictitious boundary for plane time harmonic linear elastic a
A Matlab toolbox forpositive fractional time derivative modeling of arbitrarily frequency-dependentv
Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency r
Modeling Study of the Valid Apparent Interface Thickness in Particulate Materials with Ellipsoidal P
Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element
Robust Synchronization of Incommensurate Fractional-Order Chaotic Systems via Second-Order Sliding M
The sinh transformation for evaluating nearly singular boundary element integrals over high-order ge
A variable-order time-fractional derivative model for chloride ion sub-diffusion in concrete structu
Numerical treatment of acoustic problems with boundary singularities by the singular boundary method
The singular boundary method: Mathematical background and application in orthotropic elastic problem
Differential Quadrature and Cubature Methods for Steady-State Space-Fractional Advection-Diffusion E
A Matlab toolbox for positive fractional time derivative modeling of arbitrarily frequency-dependent
A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy prob
The singular boundary method for steady-state nonlinear heat conduction problem with temperature-dep
A new definition of fractional Laplacian withapplication to modeling three-dimensional nonlocal heat
A variable-ordertime-fractional derivative model for chloride ions sub-diffusion in concretestructur
Differential Quadrature andCubature Methods for Steady-State Space-Fractional Advection-DiffusionEqu
Homotopy Method forParameter Determination of Solute Transport with FractionalAdvection-dispersion E
Characterization of space-dependent thermal conductivity for nonlinear functionally graded materials
Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation me
Use of a variable-index fractional-derivative model to capture transient dispersion in heterogeneous
Prediction of transport behaviors of particulate composites considering microstructures of soft inte
期刊信息
位置：