A posteriori error analysis of multipoint flux mixed finite element methods for interface problems
Advances in Computational Mathematics
In this paper, the multipoint flux mixed finite element method is used to approximate the flux of two-dimensional elliptic interface problems. Within the class of modified quasi-monotonically distributed coefficients, we derive uniformly robust residual-type a posteriori error estimators for the flux error. Based on the residual-type estimator, we further develop robust implicit and explicit recovery-type estimators through gradient recovery in H(curl) conforming finite element spaces. Numerical experiments are presented to support the theoretical results.
Du, Shaohong; Lin, Runchang; and Zhang, Zhimin, "A posteriori error analysis of multipoint flux mixed finite element methods for interface problems" (2016). Mathematics & Physics Faculty Publications. 7.