scholarly journals Convergence Estimates of POD-Galerkin Methods for Parabolic Problems

2006 ◽  
pp. 295-306 ◽  
Author(s):  
Thibault Henri ◽  
Jean-Pierre Yvon
Keyword(s):  
Parabolic Problems ◽  
Galerkin Methods ◽  
Convergence Estimates

scholarly journals An efficient solver for space–time isogeometric Galerkin methods for parabolic problems

2020 ◽  
Vol 80 (11) ◽  
pp. 2586-2603
Author(s):  
Gabriele Loli ◽  
Monica Montardini ◽  
Giancarlo Sangalli ◽  
Mattia Tani
Keyword(s):  
Space Time ◽  
Parabolic Problems ◽  
Galerkin Methods ◽  
Efficient Solver

scholarly journals A modified Tikhonov regularization method for a class of inverse parabolic problems

2020 ◽  
Vol 28 (1) ◽  
pp. 181-204
Author(s):  
Nabil Saouli ◽  
Fairouz Zouyed
Keyword(s):  
Boundary Conditions ◽  
Exact Solutions ◽  
Tikhonov Regularization ◽  
Regularization Method ◽  
Parabolic Problem ◽  
Tikhonov Regularization Method ◽  
Parabolic Problems ◽  
Initial Condition ◽  
Ill Posed ◽  
Convergence Estimates

AbstractThis paper deals with the problem of determining an unknown source and an unknown initial condition in a abstract final value parabolic problem. This problem is ill-posed in the sense that the solutions do not depend continuously on the data. To solve the considered problem a modified Tikhonov regularization method is proposed. Using this method regularized solutions are constructed and under boundary conditions assumptions, convergence estimates between the exact solutions and their regularized approximations are obtained. Moreover numerical results are presented to illustrate the accuracy and efficiency of the proposed method.

On the extrapolation of Galerkin methods for parabolic problems

1974 ◽  
Vol 23 (3) ◽  
pp. 269-287 ◽  
Author(s):  
G. Fairweather ◽  
J. P. Johnson
Keyword(s):  
Parabolic Problems ◽  
Galerkin Methods
Sign in / Sign up

Export Citation Format

Share Document