Solving robin problems in bounded doubly connected regions via an integral equation with the generalized neumann kernel
This paper presents a new boundary integral equation method for the solution of Robin problems in bounded doubly connected regions. We show how to reformulate the Robin problems as a Riemann-Hilbert problem which leads to systems of integral equations. Related differential equations are also constru...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Published: |
American Institute of Physics Inc.
2016
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/73226/ http://eprints.utm.my/73226/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper presents a new boundary integral equation method for the solution of Robin problems in bounded doubly connected regions. We show how to reformulate the Robin problems as a Riemann-Hilbert problem which leads to systems of integral equations. Related differential equations are also constructed that give rise to unique solutions. Numerical results on several test regions are presented to illustrate the solution technique for the Robin problems when the boundaries are sufficiently smooth. |
|---|