A posteriori error analysis of multipoint flux mixed finite element methods for interface problems |
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| Authors: | Shaohong Du Runchang Lin Zhimin Zhang |
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| Institution: | 1.School of Mathematics and Statistics,Chongqing Jiaotong University,Chongqing,China;2.Beijing Computational Science Research Center,Beijing,China;3.Department of Mathematics and Physics,Texas A&M International University,Laredo,USA;4.Department of Mathematics,Wayne State University,Detroit,USA |
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| 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. |
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