Convergence Analysis for a Finite Element Approximation of a Steady Model for Electrorheological Fluids
arXiv:1407.2767
Originality Synthesis-oriented
AI Analysis
Provides theoretical convergence guarantees for numerical simulation of electrorheological fluids, an incremental contribution to computational rheology.
The paper derives error estimates for finite element approximations of p(x)-Stokes systems modeling electrorheological fluids, achieving optimal rates in some cases.
In this paper we study the finite element approximation of systems of $p(\cdot)$-Stokes type, where $p(\cdot)$ is a (non constant) given function of the space variables. We derive --in some cases optimal-- error estimates for finite element approximation of the velocity and of the pressure, in a suitable functional setting.