Title

A posteriori error analysis of multipoint flux mixed finite element methods for interface problems

Document Type

Article

Publication Title

Advances in Computational Mathematics

Abstract

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.

First Page

921

Last Page

945

DOI

10.1007/s10444-015-9447-7

Publication Date

8-1-2016

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