scholarly journals Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media

2013 ◽  
Vol 51 (4) ◽  
pp. 1959-1977 ◽  
Author(s):  
Buyang Li ◽  
Weiwei Sun
Keyword(s):  
Porous Media ◽  
Error Estimates ◽  
Flow In Porous Media ◽  
Unconditional Convergence ◽  
Optimal Error Estimates ◽  
Optimal Error ◽  
Miscible Flow ◽  
Mixed Fem

scholarly journals A stabilized coupled method and its optimal error estimates for elliptic interface problems

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Jiaping Yu ◽  
Feng Shi ◽  
Jianping Zhao
Keyword(s):  
Error Estimates ◽  
Numerical Experiments ◽  
Interface Problems ◽  
Optimal Error Estimates ◽  
Computational Stability ◽  
Optimal Error ◽  
Stabilized Method ◽  
Elliptic Interface Problems ◽  
Coupled Method

Abstract In this paper, we present a stabilized coupled algorithm for solving elliptic interface problems, mainly by introducing the jump of the solutions along the interface. A framework of theoretical proofs is provided to show the optimal error estimates of this stabilized method. Several numerical experiments are carried out to demonstrate the computational stability and effectiveness of the method.

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