Comments on the derivation of finite-element approximations from conservation principles

✍ Scribed by R. Vichnevetsky

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 332 KB
• Volume: 18
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(76)90045-8

✦ Synopsis

Hyperbolic equations are often derived from conservation principles. We will show in this paper that in those cares, e.xpressing this principles in a natural discrete form provides a procedure for the derivation of finite-element approximations. Likewise, the solution of parabolic equations also satisfy natural conservation principles.

The derivation of finite-element approximations from their use will also shown to be feasible.