A complex variable boundary element method for elliptic partial differential equations in a multiple-connected region

Abstract

A simple boundary element method based on the Cauchy integral formulae is proposed for the numerical solution of a class of boundary value problems involving a system of elliptic partial differential equations in a multiple-connected region of infinite extent. It can be easily and efficiently implemented on the computer.

Keywords:

• Boundary element method
• Cauchy integral formula
• elliptic partial differential equations
• multiple-connected region

C.R. Categories:

• G1.8
• G1.9