Optimal Error Estimates and Adaptive Time and Space Step Control for Linear Parabolic Problems

1987 ◽  
pp. 1-16 ◽  
Author(s):  
Kenneth Eriksson ◽  
Claes Johnson ◽  
Johan Lennblad
Keyword(s):  
Error Estimates ◽  
Parabolic Problems ◽  
Optimal Error Estimates ◽  
Time And Space ◽  
Optimal Error ◽  
Space Step ◽  
Adaptive Time ◽  
Step Control

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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