The application of the boundary element method in numerical analysis is based upon the use of boundary integral operators stemming from multiple layer potentials. The regularity properties of these operators are vital in the development of boundary integral equations and error estimates. We show how it is possible to determine the regularity of various potentials by treating them as as pseudodifferential operators over the boundary, and determine thereby the regularity properties of these operators. This is part of a joint work with G.Chen, G.Hsiao and J.Zhou.
|Conference||Analysis and Optimization of Systems|
|Period||09/06/1992 → 12/06/1992|
|Series||Lecture Notes in Control and Information Sciences|
- Multiple Boundary Layers
- Pseudodifferential Operators