scholarly journals Mesh independent superlinear convergence of an inner–outer iterative method for semilinear elliptic interface problems

2009 ◽  
Vol 226 (2) ◽  
pp. 190-196 ◽  
Author(s):  
István Antal ◽  
János Karátson
Keyword(s):  
Iterative Method ◽  
Superlinear Convergence ◽  
Interface Problems ◽  
Elliptic Interface Problems ◽  
Semilinear Elliptic

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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