Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems

1993 ◽  
Vol 30 (6) ◽  
pp. 1796-1838 ◽  
Author(s):  
O. Scherzer ◽  
H. W. Engl ◽  
K. Kunisch
Keyword(s):  
Tikhonov Regularization ◽  
A Posteriori ◽  
Parameter Choice ◽  
A Posteriori Parameter Choice ◽  
Ill Posed

An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition

2019 ◽  
Vol 26 (1) ◽  
pp. 35-45
Author(s):  
Mohamed Denche ◽  
Abdelali Benchikha
Keyword(s):  
Boundary Condition ◽  
Heat Equation ◽  
Regularization Method ◽  
Initial Conditions ◽  
Integral Boundary Condition ◽  
A Posteriori ◽  
Parameter Choice ◽  
Integral Boundary ◽  
A Posteriori Parameter Choice ◽  
Ill Posed

Abstract The aim of this paper is to investigate the problem of control by the initial conditions of the heat equation with an integral boundary condition. Using the truncation method with an a posteriori parameter choice rule, we give the error estimate between the exact and the regularized solutions. A numerical implementation shows the efficiency of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document