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Natural Boundary Element Method for Boundary Value Problem in an Exterior Elliptic Infinite Sector Domain(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年02期
Page:
6-12
Research Field:
数学
Publishing date:

Info

Title:
Natural Boundary Element Method for Boundary Value Problem in an Exterior Elliptic Infinite Sector Domain
Author(s):
Chen Yajun; Du Qikui
School of Mathematical Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
exte rior elliptic infin ite sec to r dom a in;  harm onic problem;  natural bounda ry e lem ent m ethod
PACS:
O241.82
DOI:
-
Abstract:
In th is paper, we investigate the natura l boundary e lem ent m ethod fo r the boundary v alue problem of harmon ic equation in an ex ter ior e lliptic infinite sector dom ain. By the princ ip le o f the na tura l boundary reduction, w e obtain the Po isson integral fo rmu la and the natura l integral equation of this prob lem, and g ive the num er ica lm ethod of the natural integ ra l equation. M oreove r, the converg ence of the approx im ate solutions and the ir error estima tes are obta ined. F ina-l ly, som e num er ica l examp les are presented to show that ourm ethods are effective.

References:

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Last Update: 2013-04-23