A posteriori error estimation for error minimization driven mesh relaxation

Abstract

This research explored the use of developments in a posteriori error estimation for application in error minimization driven mesh relaxation strategies in an ALE code. This involved the development and evaluation of a set of error estimators utilizing a quadrature rule. The error estimators were then applied in a weighting scheme in the modified equipotential smoothing algorithm. The quantitative evaluation of the mesh relaxation strategy on solution error was assessed, applicable results were found for future work.