Finite element approximation for some quasilinear elliptic problems

✍ Scribed by Yuki Matsuzawa

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 431 KB
• Volume: 96
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(98)00085-5

✦ Synopsis

We consider the finite element approximation of the boundary value problem

where f2 is a two-or three-dimensional polyhedral domain and A(u) is a Lipschitz continuous function satisfying A(u)>~6>O. Under the assumption of the uniqueness of the weak solution, we can show the L °¢ convergence of the approximate solution. (~) 1998 Elsevier Science B.V. All rights reserved.