scholarly journals Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method

2016 ◽  
Vol 59 (9) ◽  
pp. 1835-1850 ◽  
Author(s):  
YanHong Bai ◽  
YongKe Wu ◽  
XiaoPing Xie
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Estimation ◽  
Posteriori Error ◽  
A Posteriori Error Estimation ◽  
A Posteriori ◽  
Posteriori Error Estimation ◽  
A Posteriori Error ◽  
Hybrid Stress Finite Element ◽  
Hybrid Stress

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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