A posteriori element residual error estimations for the cell functional minimization scheme

Abstract

This paper presents a posteriori element residual error estimator for the cell functional minimization scheme for anisotropic diffusion problems on unstructured polygonal meshes. The element residual error estimator is based on the numerical solution of the element residual equation on every cell. The global reliability and local efficiency of the proposed element residual error estimator with respect to an energy‐type error are obtained.