scholarly journals Two regularization methods and the order optimal error estimates for a sideways parabolic equation

2005 ◽  
Vol 49 (5-6) ◽  
pp. 777-788 ◽  
Author(s):  
Peng Fu ◽  
Chu-Li Fu ◽  
Xiang-Tuan Xiong ◽  
Hong-Fang Li
Keyword(s):  
Parabolic Equation ◽  
Error Estimates ◽  
Optimal Error Estimates ◽  
Regularization Methods ◽  
Optimal Error

scholarly journals AnH1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form

1987 ◽  
Vol 10 (2) ◽  
pp. 345-360 ◽  
Author(s):  
A. K. Pani ◽  
P. C. Das
Keyword(s):  
Parabolic Equation ◽  
Galerkin Method ◽  
Error Estimates ◽  
Stefan Problem ◽  
Single Phase ◽  
Quasilinear Parabolic Equation ◽  
Divergence Form ◽  
Optimal Error Estimates ◽  
Optimal Error ◽  
Quasilinear Parabolic

Optimal error estimates inL2,H1andH2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by anH1-Galerkin procedure.

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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