Flux reconstruction for the P2 nonconforming finite element method with application to a posteriori error estimation

2012 ◽  
Vol 62 (12) ◽  
pp. 1701-1717 ◽  
Author(s):  
Kwang-Yeon Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Estimation ◽  
Posteriori Error ◽  
A Posteriori Error Estimation ◽  
Flux Reconstruction ◽  
Nonconforming Finite Element ◽  
A Posteriori ◽  
Posteriori Error Estimation ◽  
A Posteriori Error

scholarly journals Residual-Based a Posteriori Error Estimation for Immersed Finite Element Methods

2019 ◽  
Vol 81 (3) ◽  
pp. 2051-2079 ◽  
Author(s):  
Cuiyu He ◽  
Xu Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Estimation ◽  
Posteriori Error ◽  
A Posteriori Error Estimation ◽  
A Posteriori ◽  
Posteriori Error Estimation ◽  
A Posteriori Error ◽  
Immersed Finite Element Method ◽  
Immersed Finite Element

Abstract In this paper we introduce and analyze the residual-based a posteriori error estimation of the partially penalized immersed finite element method for solving elliptic interface problems. The immersed finite element method can be naturally utilized on interface-unfitted meshes. Our a posteriori error estimate is proved to be both reliable and efficient with both reliability and efficiency constants independent of the location of the interface. Numerical results indicate that the error estimation is robust with respect to the coefficient contrast.

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