Analytical methods for an elliptic singular perturbation problem in a circle

✍ Scribed by N.M. Temme

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 296 KB
• Volume: 207
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2006.10.049

✦ Synopsis

We consider an elliptic perturbation problem in a circle by using the analytical solution that is given by a Fourier series with coefficients in terms of modified Bessel functions. By using saddle point methods we construct asymptotic approximations with respect to a small parameter. In particular we consider approximations that hold uniformly in the boundary layer, which is located along a certain part of the boundary of the domain.