ABSTRACT
Performance of Zienkiewicz–Zhu error estimator is considered for parabolic equations. Estimate of the local elliptic discretization error in energy norm is obtained by constructing a recovered gradient field of a higher order of accuracy at each time step using superconvergent properties of the solution. The adaptive procedure presented controls the local time error as a fraction of elliptic projection errors that are estimated using ZZ error estimator and Superconvergent Patch Recovery.
