SOLUTIONS OF HYPERSINGULAR INTEGRAL EQUATIONS OVER CIRCULAR DOMAINS BY A SPECTRAL METHOD

被引：0
|
作者：
Farina, Leandro [1 ,2 ]
Ziebell, Juliana S. [3 ]
机构：
[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
[2] Basque Ctr Appl Math, E-48009 Bilbao, Basque Country, Spain
[3] Univ Fed Rio Grande, Inst Matemat Estat & Fis, BR-96201900 Rio Grande, RS, Brazil
来源：
APPLICATIONS OF MATHEMATICS 2013 | 2013年
关键词：
FINITE-PART INTEGRALS; WATER-WAVES; SCATTERING; PLATES; CONVERGENCE; ALGORITHMS; DISC;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of a solving a class of hypersingular integral equations over the boundary of a nonplanar disc is considered. The solution is obtained by an expansion in basis functions that are orthogonal over the unit disc. A Fourier series in the azimuthal angle, with the Fourier coefficients expanded in terms of Gegenbauer polynomials is employed. These integral equations appear in the study of the interaction of water waves with submerged thin plates.
引用
收藏
页码：52 / 66
页数：15
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