The Singular Integral Equation Method in 3-D Boundary Value Problems and its Applications

被引：1
|
作者：
Setukha, A. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Ctr Res Comp, Moscow 119991, Russia
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷
关键词：
boundary value problems; integral equations; singular integrals; vortex methods; SIMULATION;
D O I：
10.1063/1.4756236
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The integral equations with hypersingular integrals on closed and opened surfaces which appear when finding the solution of the 3-dimensional Neumann boundary value problem for Laplace or Helmholtz equations in double-layer potential form are considered in the paper. Author presents his results regarding the solvability of equations of this type, the convergence of the numerical method of their solution like method of discrete singularities in uniform metric on a grid. Also examples of the method practical implementation in applied problems of aerodynamics and acoustics are given.
引用
收藏
页码：720 / 723
页数：4
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