A fixed-point approximation method for some noncoercive variational problems

✍ Scribed by M Boulbrachene

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 477 KB
• Volume: 39
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00061-4

✦ Synopsis

This paper deals with the finite-element approximation of some variational problems, namely, linear elliptic boundary value problems, variational inequalities, and quasi-variational inequalities with noncoercive operators. To prove optimal L°°-error estimates, we introduce a simple and direct argument combining continuous piecewise linear finite elements with the Banach fixedpoint theorem.