Boundary Element Formulations

J. J. Connor; C. A. Brebbia

doi:10.1117/12.945195

29 January 1985 Boundary Element Formulations

J. J. Connor, C. A. Brebbia

Proceedings Volume 0518, Optical Systems Engineering IV; (1985) https://doi.org/10.1117/12.945195
Event: 1984 Cambridge Symposium, 1984, Cambridge, United States

Abstract

The boundary element method has evolved rapidly within the past decade and is now recognized as a reliable and efficient alternative to finite element and finite difference procedures, especially for problems encountered in Potential Theory and Elasto-statics. The technique consists in transforming the partial differential equations which govern the behavior in the domain over to a set of integral equations relating quantities associated with the boundary, and applying numerical procedures to generate approximate solutions for the boundary variables. This paper describes a general procedure, based on the weighted residual approach, for transforming the differential equations to integral expressions that form the basis for the Direct Boundary Element Method, and shows that boundary element and finite element methods can be interpreted as variants of the fundamental weak formulation for the problem.

Citation Download Citation

J. J. Connor and C. A. Brebbia "Boundary Element Formulations", Proc. SPIE 0518, Optical Systems Engineering IV, (29 January 1985); https://doi.org/10.1117/12.945195

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available