Unified framework for an a posteriori error analysis of non-standard finite element approximations of H(curl)-elliptic problems

Abstract

Recently, a unified framework for a residual-based a posteriori error analysis of standard conforming finite element methods as well as non-standard techniques such as nonconforming and mixed methods has been developed. This paper provides such a framework for an a posteriori error control of nonconforming finite element discretizations of H(curl)-elliptic problems as they arise from low-frequency electromagnetics. These nonconforming approximations include, among others, the interior penalty discontinuous Galerkin (IPDG) approach.