Numerical solution of boundary integral equations on curvilinear polygons

被引:0
作者
Arushanyan I.O. [1 ]
机构
[1] Moscow State University, Leninskie Gory, Moscow
关键词
Integral Equation; Dirichlet Problem; Laplace Operator; Potential Theory; Approximate Method;
D O I
10.3103/S0027132214040068
中图分类号
学科分类号
摘要
An approximate method of solving an integral equation of the potential theory for a Dirichlet problem for the Laplace operator is proposed in the case when domains are curvilinear polygons with piecewise analytic boundaries. The proposed method is exponentially convergent with respect to the number of quadrature nodes in use. © 2014, Allerton Press, Inc.
引用
收藏
页码:174 / 176
页数:2
相关论文
共 50 条
[31]   Rapid solution of first kind boundary integral equations in R3 [J].
Schmidlin, G ;
Lage, C ;
Schwab, C .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2003, 27 (05) :469-490
[32]   Integral solution of a class of nonlinear integral equations [J].
Liang, Jin ;
Yan, Sheng-Hua ;
Agarwal, Ravi P. ;
Huang, Ting-Wen .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) :4950-4957
[33]   Numerical solution of linear integral equations system using the Bernstein collocation method [J].
Ahmad Jafarian ;
Safa A Measoomy Nia ;
Alireza K Golmankhaneh ;
Dumitru Baleanu .
Advances in Difference Equations, 2013
[34]   Wavelet methods for boundary integral equations [J].
Ren, JG .
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1997, 13 (05) :373-385
[35]   Numerical solution of the boundary value problems for the biharmonic equations via quasiseparable representations [J].
Ben-Artzi, M. ;
Eidelman, Y. ;
Fishelov, D. .
NUMERICAL ALGORITHMS, 2025, 98 (02) :625-649
[36]   A fast numerical solution method for two dimensional Fredholm integral equations of the second kind [J].
Xie, Wen-Jing ;
Lin, Fu-Rong .
APPLIED NUMERICAL MATHEMATICS, 2009, 59 (07) :1709-1719
[37]   Numerical solution of many-dimensional integral equations with kernels depending on the difference of arguments [J].
A. B. Samokhin .
Differential Equations, 2000, 36 :1401-1405
[38]   On the numerical solution of highly oscillatory Fredholm integral equations using a generalized quadrature method [J].
Jhaily, Adil Owaid ;
Sohrabi, Saeed ;
Ranjbar, Hamid .
AIMS MATHEMATICS, 2025, 10 (03) :5631-5650
[39]   Numerical solution of the second kind integral equations using radial basis function networks [J].
Golbabai, A ;
Seifollahi, S .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) :877-883
[40]   Numerical solution of many-dimensional integral equations with kernels depending on the difference of arguments [J].
Samokhin, AB .
DIFFERENTIAL EQUATIONS, 2000, 36 (09) :1401-1405