A POSTERIORI ERROR ANALYSIS FOR STOKES PROBLEM WITH VARIABLE VISCOSITY

Abstract

The Stokes problem deals with understanding how fluids move and deform under the influence of applied forces, such as gravity or pressure.The Stokes problem is a fundamental challenge in fluid dynamics,where the viscosity of the fluid varies across the domain.This project presents a divergence-conforming discontinuous Galerkin finite element method for Stokes problem with variable viscosity. We present a residual based a posteriori error estimator, which has demonstrated to be reliable and efficient.