L2 CONVERGENCE OF COLLOCATION FOR THE GENERALIZED AIRFOIL EQUATION

被引：17

作者：

GOLBERG, MA

FROMME, JA

机构：

[1] Mathematics Department, University of Nevada, Las Vegas

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1979年 / 71卷 / 01期

关键词：

D O I：

10.1016/0022-247X(79)90230-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish the L2 convergence of a polynomial collocation method for the solution of a class of Cauchy singular linear integral equations, which we term the generalized airfoil equation. Previous numerical results have shown that if the right hand side is smooth then convergence is rapid, with 6 decimal accuracy achievable using 8-10 basis elements. Practical problems in aerodynamics dictate that this equation be solved for discontinuous data. The convergence rate is numerically demonstrated to be O( 1 N), where N is the number of basis elements used. Simple extrapolation is shown to be effective in accelerating the convergence, 4-5 decimal accuracy being achieved using 16 basis elements. © 1979.

引用

页码：271 / 286

页数：16

共 19 条

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