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A Discrete Galerkin Method for a Hypersingular Boundary Integral Equation
 

Summary: A Discrete Galerkin Method for a Hypersingular
Boundary Integral Equation
David Da-Kwun Chien
Math Program
CSU San Marcos
San Marcos, CA92096
Kendall Atkinson
Math Dept.
University of Iowa
Iowa City, IA 52242
April 16, 1996
Abstract
Consider solving the interior Neumann problem
u(P ) = 0 P 2 D
@u(P )
@nP
= f (P ) P 2 S
with D a simply-connected planar region and S = @D a smooth curve. A double layer
potential is used to represent the solution, and it leads to the problem of solving a
hypersingular integral equation. This integral equation is reformulated as a Cauchy

  

Source: Atkinson, Kendall - Departments of Computer Science & Mathematics, University of Iowa

 

Collections: Computer Technologies and Information Sciences