Abstract

We study a mixed finite element approximation of a nonlinear Dirichlet problem in both two and three dimensions. This study is a first step towards the treatment of Ladyzhenskaya flows or quasi-Newtonian flows obeying the power law by mixed finite element methods. We give existence and uniqueness results for the continuous problem and its approximation and we prove an error bound.

This content is only available as a PDF.
You do not currently have access to this article.