R. Bruce Kellogg

PO Box 698
Landrum, SC 29356
864-457-2517

Current Projects

Boundary layers and corner singularities for a self-adjoint problem
This paper studies the boundary layers and corner singularities of a self-adjoint problem in a plane polygonal domain. (ps file, 33 pp.)
A singularly perturbed convection-diffusion problem in a half-plane
This paper, by Kellogg and Stynes, studies the interior layer that results from a jump discontinuity in the Dirichlet boundary condition. (pdf file, 11 pp.)
Corner Singularities and Singular Perturbations
This is a corrected version of a paper in Annali dell'Universit\`a di Ferrara, Sezione VII, Scienze Matematiche, Vol. XLVII pp. 177-206. It studies the corner singularity expansion of a singularly perturbed convection-diffusion problem on a sector. (pdf file)
Corner singularities and boundary layers in a simple convection-diffusion problem
This is a sharpened and corrected version of a paper that appeared in J. Diff. Eqns., 213 (2005), pp. 81-120. (pdf file)

The Home Page of R. Bruce Kellogg

PO Box 698
Landrum, SC 29356
864-457-2517

The following items are a few papers or reprints.

Boundary layers and corner singularities for a self-adjoint problem
This paper studies the boundary layers and corner singularities of a self-adjoint problem in a plane polygonal domain. (ps file, 33 pp.)
A singularly perturbed convection-diffusion problem in a half-plane
This paper, by Kellogg and Stynes, studies the interior layer that results from a jump discontinuity in the Dirichlet boundary condition. (pdf file, 11 pp.)

The following items are the sections of a set of notes on corner singularities for second order elliptic boundary value problems in a polygon.