Adaptive Finite Elements With large aspect ratio for Aluminium Electrolysis

Abstract

A continuation anisotropic adaptive algorithm to solve elliptic PDEs is pre sented. The p-laplacian problem and the Stokes equation are considered. The algorithm is based on an a posteriori error indicator justified in [7] and [10]. The goal is to produce an anisotropic mesh such that the relative estimated error is close to a preset tolerance TOL. A continuation method is used to decrease TOL. Numerical results show that the computational time is considerably reduced when using such a continuation algorithm.