Boundary integral equations for a class of nonlinear problems by the Kirchhoff transformation

✍ Scribed by R.P. Shaw

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 421 KB
• Volume: 9
• Category: Article
• ISSN: 0955-7997
• DOI: 10.1016/0955-7997(92)90057-e

✦ Synopsis

The boundary integral equation method (BIEM) appears to depend on the concept of linear superposition in its formulation, yet will treat nonlinear boundary conditions without significant difficulty, i.e. without the need for volume integrals in most cases. It is therefore capable of dealing with inherently nonlinear problems. There are also a number of problems governed by nonlinear differential equations which have been treated by BIEM using iterative solutions based on a linearized form. However, the use of the Kirchhoff transformation on a class of these nonlinear governing equations moves the nonlinearity from the governing equation to the boundary conditions, leaving a linear governing equation with nonlinear boundary conditions which is directly ameanable to standard BIE methods.