Implementation Aspects of a Recovery-Based Error Estimator in Finite Element Analysis

摘要

The paper is devoted to the use of error estimators based on gradient recovery in finite element computations, where the resulting error estimates can be used as the basis for hp-adaptive mesh refinement. Due to high complexity of adaptive numerical software we have decided to take advantage of the object-oriented paradigm of software development. We discuss our implementation of the Zienkiewicz-Zhu error estimator and of selected gradient recovery techniques (averaging and superconvergent patch recovery).